Question

question in △uvw, the measure of ∠w = 90°, uw = 36, wv = 77, and vu = 85. what ratio represents the sine of ∠u? answer attempt 1 out of 2 score: 0/5 penalty: none identifying trig ratios (no diagram) watch video show examples submit answer

Explanation:

Step1: Recall sine - ratio definition

The sine of an angle in a right - triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In right - triangle $\triangle UVW$ with $\angle W = 90^{\circ}$, for $\angle U$, the side opposite $\angle U$ is $WV$ and the hypotenuse is $VU$.

Step2: Write the sine formula

The formula for $\sin U=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step3: Substitute the side lengths

Given $WV = 77$ and $VU=85$, we have $\sin U=\frac{WV}{VU}=\frac{77}{85}$.

Answer:

$\frac{77}{85}$