How high is a 40-foot ramp if it is propped at a 30 degree angle?

Question

Mathematics

Kamora Bowen

27 August, 13:25

How high is a 40-foot ramp if it is propped at a 30 degree angle?

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Answers (1)

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Kellen Cunningham · Answer 1

This is the concept of trigonometry, the height of the ramp will be given by:

sin theta=[opposite]/[hypotenuse]

theta=30

opposite=x

hypotenuse=40 ft

hence;

sin 30=x/40

thus;

x=40sin30

x=20 ft

the ramp is 20 ft high