Question

A ladder leans against the wall of a building. The ladder measures 66 inches and forms an angle of 45 degrees with the ground. How far from the ground, in inches, is the top of the ladder? How far from the wall, in inches, is the base of the ladder?

Answer 1

46.67 in

46.67 in

Explanation:

the value of the hypotenuse (length of the ladder ) is given. We are to determine the value of the opposite side (distance from the ground) and adjacent side ( distance from the wall)

(distance from the ground = sin 45 = opposite / hypotenuse

0.7071 = x/66

x = 66 x 0.7071 = 46.67

distance from the wall = cos 45 = adjacent / hypotenuse

0.7071 = x/66

x = 66 x 0.7071 = 46.67