Question

What is the answer to this question?A skateboard rail rises 5 feet over a run of 8 feet. What is the angle of elevation of the rail? Express your answer to the nearest degree

Answer 1

The angle of elevation (θ) of the rail = 32 °

Step-by-step explanation

A skateboard rail rises 5 feet over a run of 8 feet can be represented in a figure as;

What to find:

The angle of elevation (θ) of the rail

Step-by-step solution:

Using trigonometric function; SOH CAH TOA

`tan\text{ }θ=(opposite)/(adjacent)`

Opposite = 5 feet and adjacent = 8 feet, then the angle of elevation is calculated as

`\begin{gathered} tan\text{ }θ=(5)/(8) \\ \\ tan\text{ }θ=0.625 \\ \\ θ=tan^(-1)0.625 \\ \\ θ=32^0 \end{gathered}`

The angle of elevation (θ) of the rail = 32 °