Question

Hello! Please help thanks

Answer 1

A.
`(5)/(13)`

Explanation:

Hi there!

We are given right triangle PQR, with PR=5, RQ=12, and PQ=13

We want to find the value of sin(Q)

Let's first recall that sine is
`(opposite)/(hypotenuse)`

In reference to angle Q, PR is the opposite side, RQ is the adjacent side, and PQ is the hypotenuse

So that means that sin(Q) would be
`(PR)/(PQ)`

Substituting the values of PR and PQ gives sin(Q) as
`(5)/(13)`, which is A

Hope this helps!