Question

1. solve for side c.

Explanation:

Step1: Use cosine function

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 55^{\circ}$, adjacent side $= 10$ m and hypotenuse $= c$. So, $\cos(55^{\circ})=\frac{10}{c}$.

Step2: Solve for $c$

Rearrange the formula to get $c=\frac{10}{\cos(55^{\circ})}$. We know that $\cos(55^{\circ})\approx0.5736$. Then $c=\frac{10}{0.5736}\approx17.43$ m.

Answer:

$c\approx17.43$ m