# 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 answer to the nearest foot.)

1. 👍 0
2. 👎 0
3. 👁 1,471
1. Did you make a sketch?
According to mine

distance of first car:
tan 35 = 5150/x
x = 5150/tan35
distance for 2nd car:
tan 55 = 5150/y
y = 5150/tan55

total distance between two cars
= x + y
= 5150/tan35 + 5150/tan55 = appr 10961 feet

1. 👍 0
2. 👎 1

## Similar Questions

1. ### Calculus

An airplane flys at a constant altitude of 2 miles and a constant speed of 600 miles per hour on a straight course that will take it directly over a kangaroo on the ground. How fast is the angle of elevation of the kangaroo's line

2. ### Math

Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes 100 workers 6 weeks to build 4 miles of highway. How

3. ### Mechanics:Statics

A man weighs 900N on the surface of the earth. Compare his weight in an airplane flying at an elevation of 9000m. Note that the radius of Earth is 6378km.

4. ### physics

A salesperson leaves the office and drives 26 km north along a straight highway. A turn is made onto a highway that leads in a direction of 60 degrees. The driver continues on the highway for a distance of 62 km and then stops.

1. ### 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

2. ### 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

3. ### precalculus

an airplane flying at 550 miles per hour has a bearing of N 52(DEGREES)E. After flying 1.5 hours, how far north and how far east has the plane traveled from its point of departure?

4. ### Math Trignometry

. From the top of the 800-foot-tall Cartalk Tower, Tom sees a plane; the angle of elevation is 67°. At the same instant, Ray, who is on the ground 1 mile from the building, notes that his angle of elevation to the plane is 81°

1. ### physics

an airplane is flying at 300 m/s(672 mi/h).How much time must elapse before a clock in the airplane and one on the ground differ by 1.00 s?

2. ### Physics

A woman in a car on a level road sees an airplane traveling in the same direction that is climbing at an angle of 30 degrees above the horizontal. By driving 110 km/h she is able to stay directly below the airplane. What is the

3. ### Calculus

A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and an airplane is flying east above the second road. At a particular time the car is 15 kilometers to

4. ### math

an airplane is flying at a height of 2 miles above the level ground. the angle of depression from the plane to the foot of a tree is 15 degree. Find the distance that the plane must fly to be directly above the tree.