Question

find the measure of side c. a = 35 m (1 point) 40 18 70 50

Explanation:

Step1: Identify trigonometric ratio

Side $a$ is opposite $\angle A=30^\circ$, $c$ is the hypotenuse. Use sine:
$\sin(A) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{a}{c}$

Step2: Rearrange to solve for $c$

$c = \frac{a}{\sin(A)}$

Step3: Substitute values

$a=35$, $\sin(30^\circ)=\frac{1}{2}$:
$c = \frac{35}{\frac{1}{2}} = 35 \times 2$

Answer:

70