thebottom of the ladder is 3 feet from the building. the ladder makes an angle of 75 degree with the ground. how high up on the building does the ladder reach? how long is the ladder?

Answer 1

This is a trigonometry problem.

The length of the adjacent side to 75 degree angle is 3 feet, the hypotenuse is the length of the ladder, and the height that the ladder reaches up the building is the length of the opposite side to the 75 degree angle.

using trig:

tan 75 = opp/3
solve for the opposite side which is the height the ladder reaches along the building

cos 75 = 3/hyp

where hyp is the length of the ladder
solve for hyp

Answer 2

length is 5.2m
height is 2.6 ft