Answer:
12.72
Step-by-step explanation:
To find the length of PQ, use the sine ratio. This is because you need one that includes the hypotenuse and the side opposite the given angle and sine:
[tex]sineX=\frac{opposite}{hypotenuse}[/tex]
Insert the values, and let x be the unknown value of PQ:
[tex]sin58=\frac{x}{15}[/tex]
Solve for x. Multiply both sides by 15 and simplify:
[tex]15*(sin58)=15*(\frac{x}{15})\\\\15*sin58=x[/tex]
Insert into a calculator:
[tex]x=15*sin58\\\\x=12.720[/tex]
Round to the nearest hundredth (two decimal places):
[tex]x=12.72[/tex]
PQ is 12.72 units long.
:Done
