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klasskru [66]
3 years ago
11

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

Mathematics
1 answer:
ikadub [295]3 years ago
8 0

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}

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