Geometry

Question Analysis

The main focus of this problem is to use the angle of elevation (in this case, the angle of the ramp with the ground) and the length of the ramp (hypotenuse) to find the height (opposite side) of the ramp using trigonometric functions.

Key Concept Explanation

1. Angle of Elevation: It is the angle between the horizontal line and the line of sight (or in this case, the ramp) to an object above the horizontal.

2. Trigonometric Functions in Right - Triangles: For an acute angle  in a right - triangle, , , . When we know the hypotenuse and want to find the opposite side, we use the sine function.

Step - by - Step Solution

1. Let the height of the top of the ramp be  feet.

The angle of the ramp with the ground  and the length of the ramp (hypotenuse)  feet.

Since

Click "Show Answer" to reveal the answer and analysis