Question

A bird is flying at a height of 2 meters above the sea level. The angle of depression from the bird to the fish it sees on the surface of the ocean is 15∘. Find the distance the bird must fly to be directly above the fish. Round to the nearest ten

Answer 1

7.5 m

Explanation:

The angle of depression from the bird to the fish is 15°

The height of the bird is 2m

The distance the bird must fly be directly above the fish is ?

Model your sketch as a right triangle with height 2m and angle 15°.The distance to find is the leg distance the bird has to cover to be directly above the fish

Apply the formula for tan of Ф

Tan Ф=opposite÷adjacent

Tan Ф=O/A

Tan 15°=2/A

0.26794919243=2/A

A=2÷0.26794919243

A=7.46

A=7.5 m