Question

Jake built a skateboard ramp, if the distance of the ramp is 10 ft. The ramp rises a

total of 3.5ft. What angle does the ramp make with the ground? Round to the


nearest degree.

Answer 1

Angle made by ramp with ground is ≈
`19.29^(\circ)`

Explanation:

Diagram of given scenario is shown below.

Given that,

Horizontal Distance of Skateboard ramp is
`10` ft.

Height of Skateboard ramp is
`3.5` ft.

From figure,

It is forming a Right angle triangle
`\triangle ABC`.

In
`\triangle ABC`,
`AB=3.5` and
`BC=10`.

Clearly see that we need to find measure of angle
`\angle C`.

Using Trigonometric ratio:

`Tan(\theta)= (Perpendicular)/(Base)`

So,
`Tan(\angle C) = (AB)/(BC) =(3.5)/(10) =0.35`

Then
`\angle C=Tan^(-1) (3.5)=19.290046^(\circ)`

Therefore, Angle made by ramp with ground is ≈
`19.29^(\circ)`