Question

Ms. McGahan is flying in a hot air balloon

425 meters in the air. The angle of depression to her house is 68 What is the distance between Ms. McGahan in the hot air balloon and the house? Set up an equation and solve. Round to the nearest meter.

Answer 1

458 m

Explanation:

To set up an equation, we would apply trigonometric function.

Reference angle = 68°

Opposite = 425 m

Hypotenuse = x

We are to find the distance, x, between Ms McGahan and the house.

Thus, we would apply SOH:

Sin 68° = Opp/Hyp

Sin 68° = 425/x

x*Sin 68° = 425

x = 425/Sin 68°

x = 458 m (nearest meter)