Question

find the length of side y. 36.5 cm 76.34 cm 22.32 cm 87.76 cm

Explanation:

Step1: Identify trigonometric ratio

The triangle is right-angled, with hypotenuse 73 cm, angle 17°, and y as the opposite side. Use $\sin\theta = \frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Set up equation

$\sin(17^\circ) = \frac{y}{73}$

Step3: Solve for y

$y = 73 \times \sin(17^\circ)$

Step4: Calculate value

$\sin(17^\circ) \approx 0.2924$, so $y \approx 73 \times 0.2924 \approx 22.32$ cm.

Answer:

22.32 cm