Question

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

Answer 1

Answer:

The length of the hypotenuse is of 143 ft.

Step-by-step 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:

$\cos{43} = \frac{109}{h}$

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

$0.73135 = \frac{109}{h}$

$0.73135h = 109$

$h = \frac{109}{0.73135}$

$h = 149$

The length of the hypotenuse is of 143 ft.