Suav wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 19 ∘ ∘ angle of elevation from the gro

Question

2 years ago

10

und. 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.

1 answer:

Triss [41] · Answer 1 · 2023-01-30T09:24:46+03:00

The height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.

The situation forms a right angle triangle.

<h3>What is a right angle triangle?</h3>

A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.

Therefore, the hypotenuse of the right triangle formed is the length of the fiberboard.

The height of the ramp formed is the opposite side of the right triangle.

Hence,

sin 19° = opposite / hypotenuse

sin 19° = h / 27

cross multiply

h = 27 × sin 19°

h = 27 × 0.32556815445

h = 8.79034017034

h = 8.79 inches.

Therefore, the height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.

learn more on right triangle here: brainly.com/question/25566098