Question

Sandy is flying a Cessna and is descending at a 6° angle towards a landing field. If she can see a gorge behind her at a 65° angle that is 400 meters away from thelanding field, how much further does she have to fly until she lands? Round to the nearest tenth.e

Answer 1

Given:

From the sketch of the flight description, using the sine rule,

`\begin{gathered} (400)/(\sin109)=(y)/(\sin 65) \\ y=(400*\sin 65)/(\sin 109) \\ y\approx383.4m \end{gathered}`

Therefore, she has to fly approximately 383.4m further until she lands.