Answer:
A. 23 tan 52°
Explanation:
You have the measurement of the side that's adjacent to the angle, and you're solving for the side opposite the angle (PQ). Using SOHCAHTOA, you know you need to use Tangent (TOA = tangent, opposite, adjacent).
Opposite is listed before adjacent in "TOA" because that number should be on top of the fraction, and adjacent should be on the bottom.
Set up the equation like this:
tan52 = x/23
Then, you need to isolate the x so you could input the equation into the calculator. To do this, multiply both sides by 23 to cancel out the denominator:
23 tan 52 = x
Since the problem only asks for the expression and not the length of PQ, your answer is option A, 23 tan 52