Answer:
12.72 units
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
![\sin(58 \degree) = (PQ)/(15)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7ysxtx6tnx2fjeu1vaxeo6tu3digq28eeu.png)
This implies that:
![PQ = 15 \sin(58)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nta9ty7gugob8piuqbb82hvbpm1dkqit60.png)
We substitute the value for sin58° to get:
![PQ = 15(0.848)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/uyp8lte6a4669gusj82yfheo09qofkc5qc.png)
PQ=12.72