
You and your friend are sledding on two sides of a triangleshaped hill. On your side, the hill slopes up at 30.0° from the horizontal; on your friend's side, it slopes down at the same angle. You do not want to climb up the hill, so you tell your friend

You and your friend are sledding on two sides of a triangleshaped hill. On your side, the hill slopes up at 30.0° from the horizontal; on your friend's side, it slopes down at the same angle. You do not want to climb up the hill, so you tell your friend

You and your friend are sledding on two sides of a triangleshaped hill. On your side, the hill slopes up at 30.0° from the horizontal; on your friend's side, it slopes down at the same angle. You do not want to climb up the hill, so you tell your friend

1. A vertical pole 24ft. high is to be braced securely by four wires attached 8ft. from the top. If the wires are fastened to stake in the level ground at the vertices of square with its center at the foot of the pole and sides 20ft. What should be the

Rectangle EFGH is graphed on a coordinate plane with vertices at E(3,5), F(6,2), G(4,4),and H (5,1). Find the slopes of each side. What do you notice about the slopes of opposite sides? What do you notice about the slopes of adjacent sides?


Berry is standing at the edge of a hill that slopes downward and to the right. He notices that for every 5 feet you go in a horizontal direction, the hill drops by 2 feet. Berry places a ball at the edge of the hill (the origin of the coordinate system),

A skier approaches the base of an icy hill with a speed of 11.6 m/s. The hill slopes upward at 24° above the horizontal. Ignoring all friction forces, find the acceleration of this skier (a) when she is going up the hill, (b) when she has reached her

a hill slopes upward at an angle of 14 degrees with the horizontal ground.what height does the man reach when he has traveled 100m upward from the foot of the hill

Berry is standing at the edge of a hill that slopes downward and to the right. He notices that for every 5 feet you go in a horizontal direction, the hill drops by 2 feet. Berry places a ball at the edge of the hill (the origin of the coordinate system),

A tower 125 feet high stands on the side of a hill. At a point 240 feet from the foot of the tower measured straight down the hill, the tower subtends an angle of 25 degrees. What angle does the side of the hill make with the horizontal?

A tower 125 feet high stands on the side of a hill. At a point 240 feet from the foot of the tower measured straight down the hill, the tower subtends an angle of 25 degrees. What angle does the side of the hill make with the horizontal?

A tower 125 feet high stands on the side of a hill. At a point 240 feet from the foot of the tower measured straight down the hill, the tower subtends an angle of 25 degrees. What angle does the side of the hill make with the horizontal?

A toboggan approaches a snowy hill moving at 15.0 m/s. The coefficients of static and kinetic friction between the snow and the toboggan are 0.460 and 0.350, respectively, and the hill slopes upward at 41.0 above the horizontal. Find the acceleration of

A toboggan approaches a snowy hill moving at 11.1 m/s . The coefficients of static and kinetic friction between the snow and the toboggan are 0.410 and 0.280, respectively, and the hill slopes upward at 42.0 ∘ above the horizontal. A)Find the

a tree growing on a hillside casts a 102foot shadow straight down the hill. Find the vertical height of the tree if, relative to the horizontal, the hill slopes 15.0 degrees and the angle of elevation of the sun is 62.0 degrees.


A child insists on going sledding on a barely snowcovered hill. The child starts from rest at the top of the 60 m long hill which is inclined at an angle of 30o to the horizontal, and arrives at the bottom 8.0 s later. What is the coefficient of kinetic

A toboggan approaches a snowy hill moving at 12.9 . The coefficients of static and kinetic friction between the snow and the toboggan are 0.390 and 0.290, respectively, and the hill slopes upward at 44.0 above the horizontal.

A hill slopes down from a building with a grade of one for to five feet measured along the horizontal (slope of 1/5). If a ladder 36 ft. long is set against the building, with its foot 12ft. down the hill. How high will it reach the building?

A contractor plans to build an artist's studio with a roof that slopes differently on the 2 sides. On one side, the roof makes an angle of 33 degrees with the horizontal. On the other side, which has a window, the roof makes an angle of 65 degrees with the

A ski jumper launches from a ski jump that is oriented parallel to a hill. The jump has a vertical drop of 50 m and the coefficient of friction μ between the skier and the jump is 0.05. The launch point is 5 m above the hill and there is a small lip

A ski jumper launches from a ski jump that is oriented parallel to a hill. The jump has a vertical drop of 50 m and the coefficient of friction μ between the skier and the jump is 0.05. The launch point is 5 m above the hill and there is a small lip

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

Determine whether you can construct many, one, or no triangle(s) with the given description. a) a triangle with angle measures of 50°, 70°, and 100° no b) a triangle with one angle measure of 60° and one 4centimeter side no c) a scalene triangle with

What is the converse of the theorem statement: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. If two sides of a triangle are divided in the same proportion, then the line

Standing side by side, you and a friend step off a bridge at different times and fall for 1.41 s to the water below. Your friend goes first, and you follow after she has dropped a distance of 1.93 m. (a)How long does it take your friend to fall 1.93 m?


2 isosceles triangles have the same height. The slopes of the sides of triangle A are double the slopes of the corresponding sides of triangle B. How do the lengths of their bases compare? A. The base of A is quadruple that of B. The base of A is double

A solid ball is released from rest and slides down a hillside that slopes downward at an angle 52.0 from the horizontal.What minimum value must the coefficient of static friction between the hill and ball surfaces have for no slipping to occur?

this problem seems with too many numbers that i don't know where to start. or even how.I have to answer the problem on top not the one that says number 27. The problem: Geometry. For the floor plans given in exercise 27, determine whether the side through

A skier is traveling at a speed of 36.2 m/s when she reaches the base of a frictionless ski hill. This hill makes an angle of 15° with the horizontal. She then coasts up the hill as far as possible. What height (measured vertically above the base of the

A skier is traveling at a speed of 39.7 m/s when she reaches the base of a frictionless ski hill. This hill makes an angle of 14° with the horizontal. She then coasts up the hill as far as possible. What height (measured vertically above the base of the

a tower 150 meter is situated at the top of the hill.At a point 650 m down the hill.The angle between the surface of the hill and the line of sight to the of the tower is 12degrees 30 '.Find the inclination of the hill to a horizontal plane.

A tree stands vertically on a hill side which makes an angle of 15 degree with the horizontal. From a point on the ground 35 meter down the hill from the base of the tree, the angle of elevation of the top of the tree is 60 degree. find the height of the

A 1600kg car experiences a combined force of air resistance and friction that has the same magnitude whether the car goes up or down a hill at 32 m/s. Going up a hill, the car's engine produces 54 hp more power to sustain the constant velocity than it

A 1800kg car experiences a combined force of air resistance and friction that has the same magnitude whether the car goes up or down a hill at 28 m/s. Going up a hill, the car's engine produces 52 hp more power to sustain the constant velocity than it

The two triangleshaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work. (Triangle) • On the left, a triangle is shown with a lower horizontal side labeled 7.9 yards, a vertical right side labeled


Can you please explain the SideSide Side Postulate, The SideAngleSide Postulate, and The AngleSideAngle Postulate. Thank you very much The sidesideside postulate is when two triangles are congruent with one another. (all sides are the same). The

Can the numbers 24, 32, and 40 be the lengths of three sides of a triangle? Why or why not My answer: Yes it can. Because the 3 lengths satisfy the triangle inequality theorem. The triangle inequality theorem states that the third side of a triangle must

m∠1 = 6x and m∠3 = 120. Find the value of x for p to be parallel to q. The diagram is not to scale. *114 *126 *120 *20 Find the values of x, y, and z. The diagram is not to scale. (38*, 56*,19*,x*,z*,y*) *x = 86, y = 94, z = 67 *x = 67, y = 86,

Suppose that a kid was casually sledding down a gentle slopping hill going 6 feet per second. Then, he hit a steeper part of the hill and started accelerating at a rate of 1.2 feet/second squared. At the bottom of the steep part of the hill he was going

One side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3inch and 5inch segments. Find the perimeter of the triangle in terms of x. ( triangle angle bisector theorem)

A motorcycle is traveling up one side of a hill and down the other side. The crest of the hill is a circular arc with a radius of 35.5 m. Determine the maximum speed that the cycle can have while moving over the crest without losing contact with the road.

A motorcycle is traveling up one side of a hill and down the other side. The crest of the hill is a circular arc with a radius of 43.0 m. Determine the maximum speed that the cycle can have while moving over the crest without losing contact with the road.

Quadrilateral JKLM is a rhombus. If mangleLMK = 36, find mangleKJM In the right triangle ABC, mangleB = 90, AB = 5, and AC= 12. Find BC. Round to the nearest tenth, if necessary. Help? Is AB a side and AC a side? I can't tell from your description which

A point on the ceiling of a room is 12ft. from each of the vertices of a triangle on the floor whose legs are 6ft. A and 8ft. respectively. find the length of the ceiling. 2. With a 12ft. pole marked in feet, how can one determine the foot of the

1. A point on the ceiling of a room is 12ft. from each of the vertices of a triangle on the floor whose legs are 6ft. A and 8ft. respectively. find the length of the ceiling. 2. With a 12ft. pole marked in feet, how can one determine the foot of the


In the flying ski jump, a skier acquires a speed of about 62 mph (this ended up being 27.7 m/s) by racing down a steep hill and then lifts off into the air off of a horizontal ramp. Beyond the ramp, the ground slopes at an angle of 45 degrees. a) Predict

A toboggan slides down a hill and has a constant velocity. The angle of the hill is 6.70° with respect to the horizontal. What is the coefficient of kinetic friction between the surface of the hill and the toboggan?

A toboggan slides down a hill and has a constant velocity. The angle of the hill is 6.50° with respect to the horizontal. What is the coefficient of kinetic friction between the surface of the hill and the toboggan?

A hill rises from the horizontal at 15º. The road leading straight up the hill is 800 meters long. How much higher is the top of the hill than the base of the hill? Round to the nearest meter. (Enter only the number.)

For the floor plans given in exercise27, determine whether the side through the points (2, 3) and (11, 6) is perpendicular to the side through the points (2, 3) and (3, 18). Compute the slopes of the two lines. If the product of the slopes is 1, then te

Which hill described in the table is the steepest? Explain. StreetHorizontal distancevertical rise Dixie 80 40 hill  Bell 80 20 hill   Liberty80 60 hill   A)Bell Hill;it rises 1 foot for every 4 feet of horizontal travel. B)Dixie Hill; it

Are these correct? The beginning of the sentences before "the skiers" are they still considered part of the noun phrase, or are they considered a prepositional phrase, or something different? I believe they are part of the noun phrase, but not sure. The

One side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3inch and 5inch segments. Find the perimeter of the triangle in terms of x. ( triangle angle bisector theorem)

9.)Which hill described in the table is the steepest? Explain.' (Table) Street Horizontal Distance (ft) Vertical Rise Dixie Hill 60 20 Bell Hill 60 40 Liberty Hill 60 30 A.)Bel Hill; it rises 2/3 ft for every 1 food of horizontal travel. B.)Dixie Hill; it

1. Classify the triangle according to side length and angle measurement 2. Classify the triangle according to side length and angle 3. Classify the triangle with side lengths 4,4, and 4 4. Classify the triangle with the measuring 69,42, and 68, 5.


A 2.0 x 103 kg car is pulled 345 m up a hill that make s an angle of 15° with the horizontal. What is the potential energy of the car at the top of the hill? If the car rolls down the hill, what will its speed be if we neglect friction? plz help? confused

A 2.0 x 103 kg car is pulled 345 m up a hill that make s an angle of 15° with the horizontal. What is the potential energy of the car at the top of the hill? If the car rolls down the hill, what will its speed be if we neglect friction? plz help? confused

A 2.0 x 103 kg car is pulled 345 m up a hill that make s an angle of 15° with the horizontal. What is the potential energy of the car at the top of the hill? If the car rolls down the hill, what will its speed be if we neglect friction? plz help? confused

Paul is standing at the bottom of a hill that is 150 meters high. He measures the angle of the elevation of the top of the hill to be 32 degrees. If the slope of the hill is constant, how far will his walk to the top of the hill be

The figure below shows a box of dirty money (mass m1 = 4.0 kg) on a frictionless plane inclined at angle θ1 = 35°. The box is connected via a cord of negligible mass to a box of laundered money (mass m2 = 2.0 kg) on a frictionless plane inclined at angle

The figure below shows a box of dirty money (mass m1 = 4.0 kg) on a frictionless plane inclined at angle θ1 = 35°. The box is connected via a cord of negligible mass to a box of laundered money (mass m2 = 2.0 kg) on a frictionless plane inclined at angle

A hill that has a 31.4 % grade is one that rises 31.4 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?

A hill that has a 15 % grade is one that rises 15.0 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?

A hill that has a 31.4 % grade is one that rises 31.4 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?

A hill that has a 17.5% grade is one that rises 17.5 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?


hill that has a 37.7 % grade is one that rises 37.7 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?

Marks: 5 A hill that has a 15 % grade is one that rises 15.0 m vertically for every 100.0 m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?

A kid slides down an icy (frictionless) hill starting from res. At the top his gravitational potential energy is 500J. Suppose after reaching the bottom he then continues sliding up another icy slope on the other side of the valley. Whenhe finally comes to

A 528 kg automobile is moving at 20.4 m/s at a height of 5.0 m above the bottom of a hill when it runs out of gasoline. The car coasts down the hill and then continues coasting up the other side until it comes to rest. Ignoring frictional forces and air

One side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3 inch and 5inch segments. Find the perimeter of the triangle in terms of x.

If I am give the the sides of a triangle, where Side RA=4 Side AB=4.8 Side RB=7.1 How do I find Angle RAB? Thanks!

A motorcycle is traveling up one side of a hill and down the other side. The crest of the hill is a circular arc with a radius of 68.0 m. Determine the maximum speed that the cycle can have while moving over the crest without losing contact with the road.

Observers P and Q are located on the side of a hill that is inclined 32 degrees to the horizontal as shown(picture given). The observer at P determines the angle of elevation to a hot air balloon to be 62 degrees. At the same instant the observer at Q

The following triangles, Ä ABC and Ä DEF, are congruent. abc 67.38degree 12cm lenght 22.62degree b5cm,l,13cm Find the lengths of all missing sides and measures of all angles for both triangles. Include correct units with each of your answers. First

Street  Horizontal  Vertical rise Distance ft. of street ft. ___________________________________ Dixie hill 80.  40 Bell hill  80.  20 Liberty hill 80.  60 Which hill is the steepest? Explain. A. Bell hill; it rises one foot for for every 4 feet


1. I have a friend who goes biking many times. 2. I have a friend who goes hunting every weekend. 3. I have a friend who got the first prize in the speech contest. 4. I have a friend who is the first in grades his class. 5. I have a friend who is very good

Reiny, according to this problem(one side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3inch and 5inch segments. Find the perimeter of the triangle in terms of x),

A 100 foot tall antenna sits part way up a hill. The hill makes an angle to 12 degrees with the horizontal. In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna stable, it must be anchored by

A 100 foot tall antenna sits part way up a hill. The hill makes an angle to 12 degrees with the horizontal. In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna stable, it must be anchored by

A straight road slopes at an angle of 10 degrees with the horizontal. When the angle of elevation of the sun (from horizontal) is 62.5 degrees, a telephone pole at the side of the road casts a 15 foot shadow downhill, parallel to the road. How high is the

a motorcycle wants to jump a ditch 4m wide. he leaves one side on a ramp that slopes up at 30 above horizontal. he lands at the same elevation at which he took off. his front wheel leaves the ground 2m before the edge of the ditch and comes down 3 m past

Fireworks are to be launched from a platform at the base of a hill. Using the top of the platform as the origin and taking some measurements, it was determined that the crosssection of the slope of one side of the hill is y=4x12 If the path of the

Fireworks are to be launched from a platform at the base of a hill. Using the top of the platform as the origin and taking some measurements, it was determined that the crosssection of the slope of one side of the hill is y=4x12 If the path of the

Fireworks are to be launched from a platform at the base of a hill. Using the top of the platform as the origin and taking some measurements, it was determined that the crosssection of the slope of one side of the hill is y=4x12 If the path of the

skateboards on a hill time speed kinetic energy and work starting from rest angel and Brittany skateboard down a hill as shown. angel rides down the steep side while britney rides down the shallow side. Angel has more mass than Britney. assume that


Please help 1. If segment LN is congruent to segment NP and ∠1 ≅ ∠2, prove that ∠NLO ≅ ∠NPM: Overlapping triangles LNO and PNM. The triangles intersect at point Q on segment LO of triangle LNO and segment MP of triangle PNM. Hector wrote the

A 100 foot tall antenna sits part way up a hill. The hill makes an angle to 12 degrees with the horizontal. In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna stable, it must be anchored by

Draw a big diagram You end up with a triangle with: the horizontal side = 47 ft the side representing the leaning pole ... call it a and the angle opposite the pole side = 51° The pole makes an angle of 7° with the vertical ... so the angle between to

Consider a triangle ABC. C is a right angle, and side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. The measure of side a= 2, side b= 7, and side c= 7.3 How do you find the angle measure of A and B based on the lengths of

A woman on a bicycle traveling at 10m/s on a horizontal road stops pedaling as she starts up a hill inclined at an angle of 10° to the horizontal. How far up the hill does she travel before coming to rest? I really don't understand this question. Please

determine if the following lines are parallel, perpendicular or neither. Explain your reasoning. 2x+3y=3 2x+3y=3 Rewrite them in y = mx + b form to get the slopes, m. The lines are parallel of the slopes are the same. They are perpendicular if the product

A straight road up a hill has a slope of 1/4. From the bottom of the hil to the top of the hill, the horizontal change is 80 m. Determine the height of the hill. I'm thinking that it's 80/4 = 20 m.. but I'm not 100% sure.

Point A and B are on the same horizontal line with the foot of a hill and the angles of depression of these points from the top of hill are 32° and 22° respectively. If the distance between A and B is 80 meters, what is the height of the hill?

1. He is laughing at the boy. 2. He is laughing in a loud voice toward the boy. 3. He is making a fool of the boy. [Does #1 mean #2 or #3?] 4. A friend in need is a friend indeed. 5. A friend, when you are in need, is a friend indeed. 6. A friend when you

A 100 foot tall antenna sits part way up a hill. The hill makes an angle to 12 degrees with the horizontal. In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna stable, it must be anchored by


Show that these three points , P(8,3), Q(3,4),R(6,7), Form a right angled triangle and name the right angle? There are two ways of doing this: 1) determine the slopes for all lines, and the pair that have a right angle will have a negative inverse

A 989 kg automobile is moving at 15.6 m/s at a height of 5.0 m above the bottom of a hill when it runs out of gasoline. The car coasts down the hill and then continues coasting up the other side until it comes to rest. Ignoring frictional forces and air

A 100 foot tall antenna sits part way up a hill. The hill makes an angle to 12 degrees with the horizontal. In other words, if you were going to walk up the hill, you would walk at an angle of 12 degrees. To keep the antenna stable, it must be anchored by

A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 38.3 m. Neglect friction and air resistance. What must be the height

A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of 39.6 m. Neglect friction and air resistance. What must be the height