Question

7
10
y
72°
8
v
19
31°

Explanation:

Step1: Solve for y (green triangle)

Use tangent ratio: $\tan(72^\circ) = \frac{10}{y}$
Rearrange to solve for y: $y = \frac{10}{\tan(72^\circ)}$
Calculate: $y \approx \frac{10}{3.0777} \approx 3.25$

Step2: Solve for v (blue triangle)

Use sine ratio: $\sin(31^\circ) = \frac{19}{v}$
Rearrange to solve for v: $v = \frac{19}{\sin(31^\circ)}$
Calculate: $v \approx \frac{19}{0.5150} \approx 36.89$

Answer:

$y \approx 3.25$, $v \approx 36.89$