Question

From a balloon 760 feet high, the angle of depression to the ranger headquarters is 89°18'. How far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)? -1 ft 4 ft 7 ft 9 ft

Answer 1

9 ft

Explanation:

let x be the required distance.

`(760)/(x) =tan~ 89^\circ18 '\\x=(760)/(tan~89^\circ 18' ) =(760)/(tan~89 (18)/(60)) =(760)/(tan~89.3^\circ) \\or~x \approx 9~ft`