Question

An aircraft takes off and climbs at a constant 30° angle until it reaches an altitude of 6 miles16 mi.300AirportApproximate the aircraft's horizontal distance from the airport once the desired altitude isreached, to the nearest tenth of a mile.10.4 miles

Answer 1

Explanation:

Use the tan ratio to find the horizontal distance.

$\begin{gathered} \tan \theta=\frac{opposite\text{ side}}{\text{Adjacent side}} \\ \tan 30^{\circ}=\frac{6}{a} \\ a=\frac{6}{\frac{1}{\sqrt[]{3}}} \\ a=6\sqrt[]{3} \\ a=10.39 \\ a=10.4miles \end{gathered}$

Answer: option a) 10.4 miles