Respuesta :

Answer:

12.72 units

Step-by-step explanation:

Recall the mnemonics: SOHCAHTOA

We want to find PQ, which is opposite to the 58° angle.

So we use the sine ratio: SOH , which means Sine is Opposite/Hypotenuse

[tex] \sin(58 \degree) = \frac{PQ}{15} [/tex]

This implies that:

[tex]PQ = 15 \sin(58) [/tex]

We substitute the value for sin58° to get:

[tex]PQ = 15(0.848)[/tex]

PQ=12.72