Question

A right triangle is shown. The height and length of the hypotenuse are unknown and the length other side is 5 feet. The other angles measure 60 and 30 degrees.
From the side view, a gymnastics mat forms a right triangle with other angles measuring 60° and 30°. The gymnastics mat extends 5 feet across the floor. How high is the mat off the ground?
Five-halves ft
StartFraction 5 StartRoot 3 EndRoot Over 3 EndFraction ft
5 StartRoot 3 EndRoot
10

Answer 1

The height of the mat off the ground is 5 / √3 feet

How to find side of right angle triangle?

The right angle triangle has an adjacent side of 5 feet.

The hypotenuse and height of the right triangle is unknown.

Therefore,

tan 30 = opposite/adjacent

tan 30 = h / 5

h = 5 tan 30

h = 5 × 0.57735026919

h = 2.88675134595

h = 2.89 feet

Therefore, it can be written in surd form as follows:

height = 5 × 1 / √3

height = 5 / √3

learn more on right triangle here: brainly.com/question/26197425

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