Posted by **rachel** on Tuesday, February 5, 2013 at 7:39pm.

One plane flies straight east at an altitude of 31,000 feet. A second plane is flying west at an altitude of 13,000 feet on a course that lies directly below that of the first plane and directly above the straight road from Thomasville to Johnsburg. As the first plane passes over Thomasville, the second is passing over Johnsburg. At that instant both planes spot a beacon next to the road between Thomasville to Johnsburg. The angle of depression from the first plane to the beacon is 62°, and the angle of depression from the second plane to the beacon is 34°. How far is Thomasville from Johnsburg?

- math -
**Reiny**, Tuesday, February 5, 2013 at 8:44pm
That's quite a long story to state a simple problem

Make a diagram of the side view of the situation.

Let the distance from the "spot beacon" to Thomaville be a, let the distance to the other town be b

the distance between the two towns is a+b

In the Thomaville triangle,

tan 62 = 31000/a

a = 31000/tan62

in the other town triangle

tan34 = 13000/b

b= 13000/tan34

evaluate, add them up, done

Your answer will be in feet, you might need to convert to miles.

( I got 35756.3 ft)

## Answer this Question

## Related Questions

- math - One plane flies straight east at an altitude of 31,000 feet. A second ...
- math - One plane flies straight east at an altitude of 31,000 feet. A second ...
- Math - A plane flying at an altitude of 10,000 feet begins descending when the ...
- math (altitude) - An airplane flying at an altitude of 31,000 feet descends at a...
- algebra1 - A)a plane flies at the height of 1800 feet directly over 150-foot-...
- Math - The altitude of a plane as it begins to descend is shown by the linear ...
- physics - . The altitude of a plane as it begins to descend is shown by the ...
- College Algebra - A plane takes off from the ground at a 14-degree angle. After ...
- Trig application - I have been working on this problem but I am not sure I am ...
- Math - A plane was flying at an altitude of 30,000 feet when it began the ...

More Related Questions