Question

An 18 foot ladder rests against molding at the top of 15 feet building. what is the angle of elevation from the ground to the top of the ladder? Round to the nearest degree.

The angle of elevation is ____

Answer 1

To find the angle of elevation, we can use the inverse tangent function (arctan). The angle of elevation is the angle between the ground and the line of sight from the ground to the top of the ladder.

Let's calculate it:

Angle of elevation = arctan(opposite/adjacent)

Angle of elevation = arctan(15 feet / 18 feet)

Using a calculator or table of trigonometric functions, we can find the arctan of (15/18) to be approximately 41.19 degrees.

Rounded to the nearest degree, the angle of elevation from the ground to the top of the ladder is 41 degrees.

Explanation: