Question

A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 12° with the horizontal. The flagpoleâs shadow is 16 meters long and points directly up the slope. The angle of elevation from the tip of the shadow to the sun is 20°.
1. Write an equation that can be used to find the height of the flagpole.

Answer 1

Answer:

$\frac{h}{sin(32)} =\frac{16}{sin(70)}$

Step-by-step explanation:

A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 12 degree. The flagpole shadow is 16 meters long and points directly up the slope.

The diagram for the given problem is attached below

We need to find the height of flagpole h

Apply sine law

$\frac{a}{sin(A)} =\frac{b}{sin(B)}$

$\frac{h}{sin(32)} =\frac{16}{sin(70)}$

Required equation is

$\frac{h}{sin(32)} =\frac{16}{sin(70)}$