Question

A wheelchair ramp is 4.2 meters long. It rises up 0.7 meters. What angle of elevation to the nearest degree

Answer 1

To find the angle of elevation, we can use trigonometry. The tangent of an angle in a right triangle is equal to the opposite side divided by the adjacent side.

In this case, the opposite side is the height of the ramp (0.7 meters), and the adjacent side is the length of the ramp (4.2 meters).

So, we have:

angle = arctan(opposite/adjacent) = arctan(0.7/4.2)

Using a calculator:

angle ≈ arctan(0.7/4.2) ≈ arctan(0.1667)

angle ≈ 9.48 degrees

So, the angle of elevation to the nearest degree is 9 degrees.