A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 17° with the horizontal. The flagpole casts a 13-meter shadow up the slope when the angle of elevation from the tip of the shadow to the sun is 22°.

Question

i need the sin equation and the height of the flagpole, please help

Answer 1

If you draw a diagram, you should see that
the tip of the shadow is x meters above the foot of the pole, where
x/13 = sin17°

and it is d meters away horizontally, where
d/13 = cos17°

Then, if the pole's height is h, we have
(h-x)/d = tan22°

so now just find x and d to get h.
Post your work if you get stuck.

Answer 2

what is the height of the flagpole?