Question

A sparrow is flying 12 metres away from a bird

box that is on top of a pole.
The angle of depression from the sparrow to the
base of the pole is 35º.
What is the distance between the sparrow and
the base of the pole?
Give your answer to 2 d.p.



Someone pls help

Answer 1

the distance between the sparrow and the base of the pole is approximately 17.13 meters (to 2 decimal places).

Explanation:

Using the trigonometric function tangent (tan), we can set up the following equation:

tan(35º) = opposite/adjacent

tan(35º) = 12/x

To find x, we can rearrange the equation:

x = 12/tan(35º)

Using a calculator, we can find:

x ≈ 12/0.70020753821

x ≈ 17.13 meters