The top of the ladder makes a 13° angle with the building. The base of the ladder is 6 feet from the base of the building. How far up the building does the ladder reach

tan x = opp/hyp

x is the side of the building and 6 is the distance from the bottom of the ladder to the building

tan 13 = 6/x

multiply both sides by x

x tan 13 = 6

divide both sides by tan 13

x = 6 / tan 13

x = 26

The ladder goes 26 ft up the building