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Θ = 43° Adjacent side = 109 ft Hypotenuse = ?

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Answer:

The length of the hypotenuse is of 143 ft.

Explanation:

Relations in a right triangle:

The cosine of an angle
\theta, in a right triangle, is given by the length of the adjacent side divided by the length of the hypotenuse.

In this question:


cos(43) = (109)/(h)

Using a calculator, the cosine of 43 degrees is of 0.73135. So


0.73135 = (109)/(h)


0.73135h = 109


h = (109)/(0.73135)


h = 149

The length of the hypotenuse is of 143 ft.

User Edorka
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