Question 956876
Use the Pythagorean theorem,
{{{X^2+15^2=17^2}}}
{{{X^2=289-225}}}
{{{X^2=65}}}
{{{X=8}}}
You didn't specify which angle so I'll leave that to you to find the trig functions.
The two angles are,
{{{sin(alpha)=15/17}}}
{{{alpha=61.9}}}
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{{{sin(beta)=8/17}}}
{{{beta=28.1}}}