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

Answer:

Angle made by ramp with ground is ≈$19.29^{\circ}$

Step-by-step 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:

     $Tan(\theta)= \frac{Perpendicular}{Base}$

So,  $Tan(\angle C) = \frac{AB}{BC} =\frac{3.5}{10} =0.35$

Then $\angle C=Tan^{-1} (3.5)=19.290046^{\circ}$

Therefore, Angle made by ramp with ground is ≈$19.29^{\circ}$