A right triangle. The hypotenuse descends from top left to bottom right and is labeled Ramp. The base is labeled Horizontal Distance. The bottom, right angle is labeled 14 degrees. The vertical leg is labeled 2.5 feet.

For a ramp with an angle of elevation of 14° and a height of 2.5 feet, how long is the horizontal distance of the ramp? Round the answer to the nearest tenth.

(1 point)
The horizontal distance of the ramp is
feet.

1 answer

The horizontal distance can be calculated using the tangent function.

tan(14°) = opposite/adjacent
tan(14°) = 2.5 feet / horizontal distance

horizontal distance = 2.5 feet / tan(14°)
horizontal distance ≈ 10.6 feet

Therefore, the horizontal distance of the ramp is approximately 10.6 feet.