Question

A security light is being installed outside a loading dock. The light is mounted 20 feet above the ground and must be placed at a 55° angle so that it illuminates a parking lot. What is the distance from the end of the parking lot to the loading dock?
(Will post picture momentarily)

Answer 1

You want to find the opposite side (of the angle of 55 degrees),


Since tan(angle) = opposite/adjacent


This means


tan(55) = x/20


Solve this equation for x to find your answer.

Answer 2

Remember to make sure you're in degree mode

Answer 3

how do you solve for x?

Answer 4

tan(55) = x/20


20*tan(55) = x


x = 20*tan(55)


x = 20*1.428148


x = 28.56296


So the answer is approximately 28.56296 feet

Answer 5

thanks :)

Answer 6

you're welcome