Question

Use the image to answer the question.

A triangle. The hypotenuse descends from left to right and is labeled, Ramp up to the house. The bottom right angle is labeled 20 degrees. The vertical leg of the triangle is labeled 2 feet.

Tyrese is building a ramp up to his home. He knows the height of the ramp is 2 feet. If the angle of elevation of the ramp is 20°, how long does the ramp have to be?

(1 point)

5.49 feet

0.68 feet

2.13 feet

5.85 feet
Skip to navigation

Answer 1

Let the ramp be the hypotenuse. sin(20°) = opposite/hypotenuse = 2 / ramp, so ramp = 2 / sin(20°) ≈ 5.85 feet.

Answer: 5.85 feet.