229k views
3 votes
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

An aircraft takes off and climbs at a constant 30° angle until it reaches an altitude-example-1
User Zeppelin
by
7.5k points

1 Answer

3 votes

Step-by-step explanation:

Use the tan ratio to find the horizontal distance.


\begin{gathered} \tan \theta=\frac{opposite\text{ side}}{\text{Adjacent side}} \\ \tan 30^(\circ)=(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

User Arod
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories