a 12 foot ladder is resting against the side of a building. The bottom of the ladder is 3 ft from the building find the measure of the angle the ladder makes with the ground. Rodger answers to the nearest tenth of a degree
see the attached figure to better understand the problem
Let
x ----->the measure of the angle the ladder makes with the ground
so
cos(x)=3/12 -----> by adjacent side divided by the hypotenuse
using a calculator
x=75.5 degrees
answer is
75.5 degrees