A 20 m vertical telephone pole is standing on a 15 degree slope. One guy wire is attached 30 m up the slope and another guy wire is attached 30 m down the slope. What is the length of the guy wire attached down the slope?

Question

I don't understand the question or what the diagram should look like.

Answer 1

well, shoot. Look from the side.
Draw a sloping line representing the ground.

Place a vertical line on the slope somewhere. Label the top T and the bottom B. That is the pole. Label its length 20.

Mark two points on the slope, equal distances from the pole. Label those distances 30. Label the downhill mark D and the uphill mark U.

You want the distance TD.

The angle TBD is 90+15 = 105°

By the law of cosines, the distance TD is found from

TD^2 = 30^2 + 20^2 - 2*30*20 cos 105°

Answer 2

90

Answer 3

40.13

Answer 4

40.1