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Serenity wants to use a sheet of fiberboard 22 inches long to create a skateboard
ramp with a 25° 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 tenth of an inch if
necessary.


Sagot :

9.3 inches

Please brainliest if this helps

The height of the ramp from the ground is 9.3 feet to the nearest tenth of a feet.

Angle of elevation and depression

The angle of elevation is an acute angle located at the base of the triangle.

From the given question, we have the following parameters

Length of the ramp = 22inches

Angle of elevation  = 25 degrees

Required

Height of the ramp

Using the SOH CAH TOA identity:

sin 25 = opp/hyp
sin 25 = H/22
H = 22 sin 25
H = 9.3 inches

Hence the height of the ramp from the ground is 9.3 feet to the nearest tenth of a feet.

Learn more on angle of elevation here: https://brainly.com/question/27243378