Sarah is standing 15 feet from a street lamp .The lamp is casting a shadow 8 feet long. Sarah thinks that the angle of elevation from the top of her shadow to the top of the lamp is 50°.The street lamp is how long
The pole forms one leg of a right traingle, whose opposite angle is 50 degrees
the top of her shadow is 8 + 15 = 23 feet away from the base of the pole and is the OTHER leg of the right triangle
Tan 50 = opposite/23
23 tan50 = opposite = light pole height =27.41 ft