Question

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

Answer 1

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.