Question

A ramp is 11 ft high as shown below. How long is the ramp to the nearest foot?

Answer 1

Length of the ramp is 79 ft.

Explanation:

From the picture attached,

Height of the ramp = 11 ft

Angle between the elevated ramp and the horizontal base = 8°

By applying sine rule in the given triangle,

sin(8°) =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

=
`(11)/(x)`

x =
`\frac{11}{\text{sin}(8)}`

x = 79.03 ft

x ≈ 79 ft

Therefore, length of the ramp is 79 ft.