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

Answer:

9 ft

Step-by-step explanation:

let x be the required  distance.

$\frac{760}{x} =tan~ 89^\circ18 '\\x=\frac{760}{tan~89^\circ 18' } =\frac{760}{tan~89 \frac{18}{60}} =\frac{760}{tan~89.3^\circ} \\or~x \approx 9~ft$