SOLUTION: A plane's altitude is 3,000 ft. For the pilot, the angle of depression of the base of a control tower is 15 degrees. To the nearest foot, what is the distance from the pilot to

Algebra ->  Test -> SOLUTION: A plane's altitude is 3,000 ft. For the pilot, the angle of depression of the base of a control tower is 15 degrees. To the nearest foot, what is the distance from the pilot to       Log On


   



Question 87588: A plane's altitude is 3,000 ft. For the pilot, the angle of depression of the base of a control tower is 15 degrees. To the nearest foot, what is the distance from the pilot to the base of the control tower?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A plane's altitude is 3,000 ft. For the pilot, the angle of depression of the base of a control tower is 15 degrees. To the nearest foot, what is the distance from the pilot to the base of the control tower?
-----------
Draw the picture of a right triangle with a side of 3000 opposite a 15 degree
angle.
---------
Let "c" be the hypotenuse of the triangle.
sin(15) = 3000/h
h = 3000/sin15
h = 11591.11 ft.
===================
Cheers,
Stan H.