Question

in a right triangle with angle θ, sinθ = 4/5 and the hypotenuse is 20 cm. what is the length of one of the non - hypotenuse legs?

Explanation:

Step1: Recall sine definition

$\sin\theta = \frac{\text{opposite leg}}{\text{hypotenuse}}$

Step2: Plug in known values

$\frac{4}{5} = \frac{\text{opposite leg}}{20}$

Step3: Solve for the leg

$\text{opposite leg} = \frac{4}{5} \times 20$

Answer:

16 cm