Question

find the exact value of sin u in simplest radical form.
right triangle uvw with right angle at v, wv = √17, vu = 8, wu = 9

Explanation:

Step1: Identify sin U definition

In right triangle WUV, $\sin U = \frac{\text{opposite side to } U}{\text{hypotenuse}}$

Step2: Assign sides

Opposite side to U is $WV = \sqrt{17}$, hypotenuse is $WU = 9$

Step3: Calculate sin U

$\sin U = \frac{\sqrt{17}}{9}$

Answer:

$\frac{\sqrt{17}}{9}$