# Trigonometry:Angles of Elevation and Depression

7,530 results

### Trigonometry:Angles of Elevation and Depression

Due to a storm, a pilot flying at an altitude of 528 feet has to land early. If he has a horizontal distance of 2000 feet to land, at what angle of depression should he land? Please show your work. Thanks in advance.

### Math: Angles of Elevation and Depression

the angle of elevation to the top of a flagpole is 40° from a point 30m away from The base of the pole.How high is the flagpole to the nearest meter?

### Angles of elevation and depression

The teet of two vertical poles of height 3m and 7m are in line with a point P on the ground. The smaller pole being between the taller pole and P and at distance of 20m from P the angle of elevation of the top T of the taller pole from the top R of the smaller pole is 30°....

### trigonometry

Find the angle of elevation, depression and the height of a building from the tip of another building with a distance of 1.2 km.

### Geometry

There is a flagpole in the school parking lot. Which of the following is true about the angle of depression from the top of the flagpole to the parking lot, and the angle of elevation from the parking lot to the top of the flagpole? Choose two of the following. They are ...

### trigonometry

the angle of elevation of the top of the tower from the foot of a flagpole is twice the angle of elevation of the top of the flagpole from the foot of the tower. at the point midway between the tower and the flagpole, the angles of elevation to their tops are complimentary. if...

### Trigonometry

Give me some equations about angle of elevation, angle of depression and angle of inclination that is related to my course. Im a food technology student.

### Trigonometry

A balloon is flying west of two trigonometry students who are 7 miles apart. The angles of elevation of the two students to the balloon are 15 and 28 degrees. Approximate how high the balloon is flying.

### Trigonometry application

I need help with this problem. am having trouble solving this. A rocket tracking station has two telescopes A and B placed 1.7 miles apart. The telescopes lock onto a rocket and transmit their angles of elevation to a computer after a rocket launch. What is the distance to the...

### MATH TRIG

FROM A DISTANCE OF 80 M. THE ANGLE OF ELEVATION OF THE TOP OF A FLAGPOLE IS 18 DEGREES. dETERMINE THE HEIGHT OF THE FLAGPOLE.(NEAREST TETH OF A M. mY CONFUSION IS ANGLE OF DEPRESSION AND ANGLE OF ELEVATION. mY TECHER CALLS FROM TOP ELEVATION WHILE i INSIST ELEVATION IS FROM ...

### Trigonometry

I am having trouble solving this. A rocket tracking station has two telescopes A and B placed 1.7 miles apart. The telescopes lock onto a rocket and transmit their angles of elevation to a computer after a rocket launch. What is the distance to the rocket from telescope B at ...

### Trigonometry

A passenger in an airplane flying at an altitude of 10 kilometers sees two towns directly to the left of the plane. The angles of depression to the towns are 28° and 55°. How far apart are the towns?

### Trigonometry

An observer in a lighthouse 350 feet above sea level observes two ships directly offshore. The angles of depression to the ships are 4° and 6.5°. How far apart are the ships?

### trigonometry

From a point 150 ft from the base of a building the top and the base of a flagpole on a roof edge have angles of elevation of 27degrees49' and 21degrees42' respectively. Find the height of the pole.

### trigonometry

An aeroplane at an altitude of 200m observes the angles of depression of opposite points on the two banks of a river to be 45 degree and 60 degree. Find in metres, the width of river.

### Trigonometry

An observer on a cliff 1000 dm above sea level sights two ships due east. the angles of depression of the ships are 44o and 32o. Find the distance between the ships.

### trigonometry

Draw and explain an angle of elevation of the top of a building is 60 degrees and the angle of depression of its base is 15 degrees observed from a window of another building 15m.away.

### Math-Trigonometry

The angles of elevation to the top of a mountain are measured from beacons A(22°) and B(40°) at sea. If the beacons are 125m apart, how high is the mountain?

### Right angle trigonometry

A sailor sights both the bottom and top of a lighthouse that is 20 and m high and which stands on the edge of a cliff. The two angles of elevation are 3 and 42. To the nearest meter, how far is the boat from the cliff?

### trigonometry

from a point 3 m above the water surface, the angle of elevation of the top of a certain tree is 30°40', while the angle of depression of its image is 65°10'. Find the height of the tree and its distance from the point of observation.

### Math (trigonometry)

A surveyor wishes to find the height of a mountain. He selects points A and B on level ground along the same line of sight to the mountain. He measures the distance AB to be 1503 m and the angles of elevation of the top of the mountain from the points to be 16.9° from A and ...

### trigonometry

From a window 20m above the ground, a person could see the top of the house across the street at an angle of elevation of 5 degrees. The angle of depression to the base of the house was 15 degrees. What is the height of the house?

### trigonometry

An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 35° and to the other is 55°. How far apart are the cars? (Round your ...

### Trigonometry (Math)

From a point 5m. above the water surface, the angle of elevation of the top of a certain tree is 40°10' while the angle of depression to the foot of the tree is 63°20'. Find the height of the tree and the distance from the point of observation. -Complete Solution Please. ...

### Trigonometry

From a window of one building, the angle of depression to the base of the second building is 29.5, and the angle of elevation to the top is 47.833333. If the building are 200m apart, how high is the second building?

### Trigonometry (Math)

From the top of a building 70 ft. high, two objects in a straight line from the building are observed at angles of depression of 28° and 41°6' respectively. Find the distance between the two objects. -Complete Solution please. :'(

### trigonometry

A lighthouse BC of unknown height stands on the edge of a cliff AB. From a point O, 2500 ft from the base of the cliff, an observer measures the angles of elevation of the top and bottom of the lighthouse and finds them to be 15°40' and 12°13'. How high is the lighthouse.

### trig

A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 4 mi apart, to be x = 27° and y = 53°, as shown in the figure. (Round your answers to two decimal places.) (a) Find the distance of the plane from point A. mi (b) Find the ...

### trigonometry

An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway, both on one side of the plane. If the angle of depression to one car is 34° and to the other is 51°, how far apart are the cars? (Round your ...

### trigonometry

From a point 55 feet in front of a church, the angles of elevation to the base of the steeple and the top of the steeple are 35 degree and 49 degree 20 minutes, respectively, Find the height of the steeple. (Round your answer to one decimal place).

### trigonometry

from a window 30ft above the ground, the angle of elevation to the top of the building across the street is 50° and the angle of depression to the base of the building is 20° find the height of the building across the street

### College Trigonometry

From a point 200 yards from the foot of a building, the angle of elevation to the top of the building is 37 degrees. Find the measure of the angles of the triangle formed by the building, the ground, and the line of sight to the top of the building?

### trigonometry

from a second-storey window directly across the street. the angle of elevation of the top of an office building is 67 degre 30 mins. and the angle of depression of the base 18 degre 20 mins. if the building are 38 meter apart. wat is the height of the building ??

### trig

A man standing 9 meters above the ground observes the angles of elevation and depression of the top and bottom,of the top of the monument in luneta 6 degrees and 50 minutes and 7 degrees and 30 minutes respectively.Find the height of the monument?

### trig

A man standing 9 meters above the ground observes the angles of elevation and depression of the top and bottom,of the top of the monument in luneta 6 degrees and 50 minutes and 7 degrees and 30 minutes respectively.Find the height of the monument?

### Trigonometry

An airplane is sighted at the same time by two ground observers who are 2 miles apart and both directly west of the airplane. They report the angles of elevation as 11˚ and 20˚. How high is the airplane? Round to the nearest hundredth of a mile.

### TRIGNOMETRYY

FROM A WINDOW 9M ABOVE GROUND OF HOUSE IN A STREET ANGLES OF ELEVATION AND DEPRESSION OF TOP AND FOOT OF ANOTHER HOUSE ON OPPOSITE SIDE OF STREET ARE 30DEGREE AND 60DEGREE FIND HEIGHT OF OPPOSITE HOUSE AND WIDTH OF STREET.

### Math - trigonometry

A bridge is 70m long. From the ends of the bridge the angles of depression of a point on a river under the bridge are 41 degrees and 48 degrees. How high is the bridge above the river?

### math trigonometry

two office towers are 31 m apart. From the top of the shorter tower, the angle of elevation to the top of the tall tower is 25 degrees . The angle of depression to the base of the taller tower is 31 degrees. Calculate the height of each tower

### trigonometry

R and S are in the same horizontal plane as the base of a cliff, but R is 132.6 meters nearer it than is S. They find the angles of elevation of the top of the cliff to be 32 degrees and 36 minutes and 63 degrees and 13 minutes. how high is the cliff?

### Trigonometry

The angles of elevation of an office building as observed from the top and ground level of a 10 meters tall residential building are 68° and 72° respectively. How tall is the office building? How far apart are the two buildings?

### trigonometry

From the top of a hill 700 ft high an observer notes that the angles of depression of two successive markerstones on a level ground, which leads straight away from the hill are 5 degree and 15 degree respectively. Find the distance between the two markerstones.

### Trig

A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 3 mi apart, to be angle x = 31° and angle y = 49°, as shown in the figure. (Round your answers to two decimal places.) Find the distance of the plane from point A. Find the ...

### Trigonometry

Angle of Depression Find the angle of depression from the top of the lighthouse 250 feet above water level to the water line of a ship 2.5 miles offshore.

### Math - Trigonometry

Standing on top of a building 42 m high, an observer sights two objects at P and Q on opposite sides of the building. The angles of depression from the observer to P and Q are 23° 18' and 35° 33' respectively. What is the distance between P and Q to the nearest m? Again, ...

### Trigonometry

Two points, A and D, are in a horizontal line with the foot of a tower, CB, and on opposite sides. The distance between A and D is 535.4 feet while the angles of elevation of the top B are 12 degrees 46 minutes from A and 18 degrees 38 minutes from D. Let the perpendicular ...

### trigonometry

The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 6th are 60° and 45° respectively.The distance of the base of the tower from the base of the building?

### Trigonometry

A climber, working his way up a vertical cliff stops for a rest on the ledge. The ledge where he stopped is 12 meters wude. The angle of depression from the edge of the ledge to the bottom of the cliff is 72 degree and the angle of elevation to the top of the cliff is 88 ...

### applilcations of trigonometry

A surveyor wants to find the height of the top of a hill. He observes that the angles of elevation of the top of the hill at points C and D, 300m apart, lying on the base of the hill and on the same side of the hill are 30° and 45° respectively What is the height of the hill.

### Trigonometry

A 30foot flagstaff is fixed in the center of a circular tower 40 feet in diameter. From a point in the same horizontal plane as the foot of the tower the angles of elevation of the top of the flagstaff and the top of the tower are found to be 36 and 30 degree respectively. ...

### Trigonometry

From an observation tower that overlooks a small lake, the angles of depression of point A, on one side of the lake, and point B, on the opposite side of the lake are, 7degrees and 13degrees, respectively. The points and the tower are in the same vertical plane and the ...

### trigonometry

The angles of elevation to an airplane from two points A and B on level ground are 50◦ and 67◦ , respectively. The points A and B are 3.9 miles apart, and the airplane is east of both points in the same vertical plane. Find the altitude of the plane. Answer in units of ...

### trigonometry

From lookout tower 80ft. high, a man observes from a position 6.5 ft. below the top of the tower that the angle of elevation of the top of the certain tree is 12deg40mins and the angle of depression of its base is 70deg20mins. If the base oof the tower and the base of the tree...

### trigonometry

the angle of elevation of a tower at place A south of it is 30degrees and at B west of A and a distance of 50 from it the angle of elevation is 18degrees, determined the height of the tower

### Math - Trigonometry

From an aeroplane, at an altitude of 2.3km, the angle of depression of the airport is 32Degrees and the angle of depression of the town is 18degrees (both are in direct line ahead of the plane) How far is the town from the airport?

### Trigonometry

In travelling across flat land, you notice a mountain directly in front of you. Its angle of elevation (to the peak) is 4.5°. After you drive 13 miles closer to the mountain, the angle of elevation is 9.5°.

### Trigonometry

Two observers who are 2 miles apart on a horizontal plane observe a balloon in a same vertical plane with themselves. the angles of elevation are 50 degrees and 65 degrees respectively. find the height of the balloon,(a)if it is between the observers;(b)if it is on the same ...

### trigonometry

two points, A and B, are 526 meters apart on a level strecth of road leading to a hill. The angle of elevation of the hilltop from A is 26deg30mins, and the angle of elevation from B is 36deg40mins. How high is the hill?

### trigonometry

howard and keight who are 2km apart are on a horizontal plane observe a balloon in the same vertical plane with themselves the angles of elevation are 50 degrees and 65 degrees respectively find the height of the balloon. A.if its situated between howard and keight B.If it is ...

### trigonometry

From the top of the waterfalls, the angles of depression of the foot and the top of the tree are 39° and 24° , respectively. If the tree is 3 m from the foot of the waterfalls, how high is the waterfalls??

### Health, Psychology-Depression question

I am doing a report about depression and I was looking for opinions. Do you believe depression is curable without prescription drugs?(can certain foods help, can depression just go away, etc. )I know some people do not want to take prescription drugs for their depression so ...

### Trigonometry

The measure of one of the equal angles in an isoscles trinagle is twice the measure of the remaining angle. Determine the exact radian measures of the three angles in the triange

### MATH

WHAT IS THE FORMULA FOR ANGLE OF ELEVATION AND DEPRESSION?

### plane and trigonometry

a 30 foot flagstaff is fixed in the center of a circular tower 40 feet in diameter. from a point in the same horizontal plane as the foot of the tower the angles of elevation of the top of the flagstaff and the top of the tower is 30 degree repectively. find the height of the ...

### trigonometry

two pieces of wire stretched from the top, M of a vertical pole to the points L and N on the horizontal ground. the angle of depression of L from N =65 degrees. N is on the opposite side of the pole(from left)at an angle of depression of 72 degrees from M. Find the length of ...

### Trigonometry

A HOT AIR BALLOON IS 70 m ABOVE THE SEA. TWO BUOYS A AND B ARE DUE EAST OF THE BALLOON. THE ANGLE OF DEPRESSION FROM THE BALLOON TO BUOY A IS 60°. THE ANGLE OF DEPRESSION FROM THE BALLOON TO THE BUOY B IS 40°. CALCULATE DISTANCE AB.

### Trigonometry

John stands on top of a little lighthouse looking out at a nearby tall lighthouse that is 200 feet away. He looks at the top of the tall lighthouse with a 3 degree angle of elevation, but looks at the bottom of the tall lighthouse with 6 degree angle of depression. Find the ...

### construct a triangle

How can I construct a triangle ABC with vertices A(-4,2), B(4,3), C(1,-3). what are the angles in order from least measure to greatest measure Since you will have to use trigonometry to find the angles, surely you must know how to plot points. take the slope of each of the ...

### trig

From the top of a tower of height 75m, a man sees two goats, both due west of him. If the angles of depression of the two goats are 10 degrees and 17 degrees, calculate the distance between them. It wants the angle of depression. I , myself, don't understand the question or ...

### MATHS 2

If x+y=45°, prove that {(cotx+1)(coty+1)}/{cotx×coty}=2 Please help me in this TRIGONOMETRY problem. From the topic - TRIGONOMETRY Ratios of compound angles

### trigonometry

Mickey determines that the angle of elevation from his position to the top of the tower is 52°. He measures the angle of elevation again from a point 47 meters farther from the tower and finds to be 31°. Both positions are due East of the tower. Find the height of the tower.

### trigonometry

From the roof of the building 25 meters high, the angle of elevation of the top of the pole is 21°11’ , from the bottom of the building, the angle of elevation is 43°2’, determine the height of the pole .

### trigonometry

From the roof of the building 25 meters high, the angle of elevation of the top of the pole is 21°11’ , from the bottom of the building, the angle of elevation is 43°2’, determine the height of the pole .

### math 2 trigonometry

give me the solution from the top of a building the angle of depression of a point on the same horizontal plane with the base of the building is observed to be 60 degree what will be the angle of depression of the same point when viewed from a position one third of the way up ...

### trigonometry

the pilot in an airplane observes the angle of depression of a light directly below his line of sight to be 30.4 degrees. a minute later, its angle of depression is 43.0 degrees. if he is flying horizontally in a straight course at the rate of 150 mph, find the altitude at ...

### trigonometry

A pedestrian is an between two tall building, from a point 10 meter high on the first building, the angle of depression of the pedestrian is 20°,10' from the same point, the angle of elevation of the top of the second building is 15°,20'. If the two building are 40 meter ...

### Trigonometry

The light on the Prince Shoal lighthouse is 25m above water level. From a position behind the light, the angle of the depression of the sailboat is 12 degrees. How far is the sailboat from the lighthouse, to the nearest metre? (I have no idea how the diagram would look - it ...

### chemistry

I'm starting to learn about colligative properties and i want to know if there are different equations for boiling point elevation and freezing point depression? In the book they give me the equation: (delta)Tb= Kb times molality. But my teacher gave us: delta Tb = Kb times # ...

### trigonometry

as you walk on a straight level path toward a mountain, the measure of the angle of elevation to the peak from one point is 33 degrees. From a point 1000 feet closer, the angle of elevation is 35 feet. How high is the mountain?

### Trigonometry

Height of a mountain While traveling across flat land, you notice a mountain directly in front of you. The angle of elevation to the peak is 2.5°. After you drive 18 miles closer to the mountain, the angle of elevation is 10°. Approximate the height of the mountain.

### Precalculus

1. A man stands 12 feet from a statue. The angle of elevation from the eye level to the top of the statue is 30 degrees, and the angle of depression to the base of the statue is 15. How tall in the statue? 2. Two boats lie on a straight line with the base of a lighthouse. From...

### Math

1. A rangers tower is located 44m from a tall tree. From the top of the tower, the angle of elevation to the top of the tree is 28 degrees and the angle of depression to the base is 36 degrees. How tall is the tree? 2. An engineer determines that the angle of elevation from ...

### maths (trigonometry)

The angle of elevation and angle of depression of the top and base of a mobile tower from a mobile handset are 60 degree and 30 degree respectively. If the distances of the top and the base of the tower from the mobile handset are 15m and 8m respectively, find the height of ...

### Math

3) From two tracking stations A and B, 350 km apart, a UFO is sighted at C above AB making angle CAB = 32 degrees and angle CBA = 54 degrees. Find the height of the UFO. The answer is 150 km, please explain to me how 4) from a boat on the water, the angle of elevation at the ...

### Math

in a 6 side polygon, the first two angles are equal. , the third angle is twice the equal angles, two other angles are thrice the equal angles, while the last angles is a right angles, find the value of each angles

Can you please check these answers thanks 1. A ladder 14 feet long is leaning against a house. The foot of the ladder is 4.8 feet from the house. Find the angle of elevation of the ladder and the height it reaches on the house. Answer: 13.2=height 18.9 =angle of elevation 2. ...

### trig

A plane is flying 12,000 feet horizontally from a tall, vertical cliff. The angle of elevation from the plane to the top of the cliff is 45degrees, while the angle of depression from the plane to a point on the cliff at elevation 8000 feet is 14degrees. Find the height of the ...

### Pre-Calc

A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be 24...

### Math

Which of the following correctly lists angle pairs that have the same sums of 180 degrees & 90 degrees? A. adjacent angles, congruent angles B. complementary angles, vertical angles C. supplementary angles, complementary angles*** D. vertical angles, adjacent angles Is it C?

### trigonometry

a man measured the angle of elevation of the top of a tower to be 70 degree. When he walked 300 m. further, the angle of elevation of the top was 35 degree. What is the height of the tower?

### Trigonometry

The shadow of an electric pole is 5 m. long when thr angle of elevation of the seen is 60 degrees. Find the length of the shadow when the angle of elevation of the seen is 45 degrees

### trigonometry pls help

Howard is flying a kite and wants to find its angle of elevation. The string on the kite is 32 meters long and the kite is level with the top of a building that he knows is 28 meters high. To the nearest tenth of a degree, find the angle of elevation. Show your work.

### Trigonometry

A wheelchair ramp is 4.4m.It rise is 1.2m.What is it angle of elevation to the nearest degree.

### Math (Trigonometry)

Zola can see the top of 180m cell phone at an angle of elevation of 32 degrees, and Naeem can see it an angle of elevation of 50 degrees. How far apart are Zola and Naeem if they are on a straight line with the tower? There are two possibilities.

### trigonometry

Can you tell me if these answer is correct. 1. From a boat on the lake, the angle of elevation to the top of a cliff is 35degrees13'. if the base of the cliff is 2664 feet from the boat, how high is the cliff(to the nearest foot)? i got 1880 feet. is this correct. and this one...

### Per-calc Helppppp

keep in mind answers should be pi radians or if necessary 3 dec. csc^2-2=0 all angles 4cos^2x-4cosx+1=0 all angles and name 8 angles 7sin^2x-22sinx+3=0 all angles and name 8 angles 2cos^2x-7cosx=-3 all angles sinx(2sinx+1)=0 all angles

### Trigonometry

Karla is riding vertically in a hot air balloon, directly over a point P on the ground. Karla spots a parked car on the ground at an angle of depression of 30o. The balloon rises 50 meters. Now the angle of depression to the car is 35°. How far is the car from point P?

### Trigonometry

A plane at an altitude of 12,000 feet finds the angle of depression for a building ahead of the plane to be 10.4 degrees. With the building still straight ahead, two minutes later the angle of depression is 25.6 degrees. Find of the plane relative to the ground in feet per ...

### Trigonometry

Hi! The question is really confusing to me. I can't sketch/visualize the problem. :( From a given position an observer notes that the angle of elevation of a rock is 47 degrees. After walking 1000 feet towards the rock, up a slope of 32 degrees, he finds the angle of elevation...

### Trigonometry

A space shuttle pilot flying over the suez canal finds that the angle of depression to one end of the canal is 38.25 degrees and the angle of depression to the other end is 52.75 degrees. If the canal is 100.6 miles long, find the altitude of the space shuttle