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A staircase has an angle of elevation of 28° anı
covers a total distance of 17 feet. What is the
horizontal length covered by the staircase?

A staircase has an angle of elevation of 28 anı covers a total distance of 17 feet What is the horizontal length covered by the staircase class=

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leena

Hi there!

We can use right-triangle trigonometry to solve.

We are given the HYPOTENUSE and ADJACENT sides, so we must use cosine in this instance.

cosθ = Adjacent/Hypotenuse

We can plug in what is given:

cos(28) = A/17

Solve for 'A':

17cos(28) = 15.01 ft

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