Question

10 points available. Please help if able!

Answer 1

I hope this helps. .

Answer 2

You can use the law of sines: it states that in any triangle, the ratio between the length of a side and the sine of the opposite angle is constant:

`(AB)/(\sin(C)) = (BC)/(\sin(A)) = (AC)/(\sin(B))`

We only need one of these equalities. Since B is a right angle, we have
`\sin(B)=1`. So, since we want to solve the equality for
`\sin(C)`, we focus on

`(AB)/(\sin(C)) = (AC)/(\sin(B)) \iff (24)/(\sin(C)) = (26)/(1)`

Solving for
`\sin(C)`, we have

`\sin(C) = (24)/(26) = (12)/(13)`