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Natalie wants to use a sheet of fiberboard 30 inches long to create a skateboard ramp
with a 28° angle of elevation from the ground. How high will the ramp rise from the
ground at its highest end? Round your answer to the nearest hundredth of an inch if
necessary.

Respuesta :

The ramp will rise 14.08 inches from the ground.

How to find the height of ramp rise from the ground?

given that

Natalie wants to use a sheet of fiberboard 30 inches long to create a skateboard ramp

with a 28° angle of elevation from the ground.

so, angle of elevation(θ) is 28°.

The total length of fiberboard is 30 inches.

let the ramp will rise from the ground be X.

then using the sin ratio to obtain the height.

[tex]sin(θ) = \frac{opposite \: side}{hypotenuse} \\ sin(28) = \frac{x}{30} [/tex]

To find the x value so that

[tex]x = 0.469 \times 30 \\ x = 14.08[/tex]

Hence, the ramp will rise 14.08 inches from the ground.

Learn more about height,refer:

https://brainly.com/question/1739912

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