SOLUTION: An airplane is flying toward an airport at an altitude of 6000 ft. The​ straight-line distance from the airplane to the airport is d feet. Express θ​, the angle of

Algebra ->  Trigonometry-basics -> SOLUTION: An airplane is flying toward an airport at an altitude of 6000 ft. The​ straight-line distance from the airplane to the airport is d feet. Express θ​, the angle of      Log On


   



Question 1052632: An airplane is flying toward an airport at an altitude of 6000 ft. The​ straight-line distance from the airplane to the airport is d feet. Express θ​, the angle of​ depression, as a function of d.
Write an equation for the angle of depression θ as a function of d.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Form a right triangle with d as the hypotenuse and the height 6000 as one of the legs.
The opposite side of the triangle is 6000.
The hypotenuse is d.
So,
sin%28theta%29=6000%2Fd
theta=sin%5E%28-1%29%286000%2Fd%29