Question

The base of a 35-foot ladder is 15 feet from a tree. If the ladder leans against the tree, what is the angle of elevation?

a) 18.43 degrees
b) 41.41 degrees
c) 48.59 degrees
d) 71.57 degrees

Answer 1

The angle of elevation is approximately 48.59 degrees.

Step-by-step explanation:

To find the angle of elevation, we can use the inverse tangent function. The angle of elevation is equal to the angle whose tangent is the ratio of the opposite side (height of the tree) to the adjacent side (distance of the base of the ladder from the tree). In this case, the height of the tree is 35 feet and the distance of the base of the ladder from the tree is 15 feet. Therefore, the angle of elevation is approximately 48.59 degrees (option c).