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. 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. (1 point) The horizontal distance of the ramp is feet.
Real answer is 10.0
The horizontal distance can be found using the trigonometric function tangent since we are given the angle of elevation and the vertical leg of the right triangle.
tan(14°) = Horizontal Distance / 2.5 feet
Horizontal Distance = 2.5 feet * tan(14°)
Horizontal Distance ≈ 0.402 * 2.5 feet
Horizontal Distance ≈ 1 foot
Therefore, the horizontal distance of the ramp is approximately 1 foot.