Question

What’s the correct answer for this?

Answer 1

Answer:

12.72 = PQ

Step-by-step explanation:

This is a right triangle, so we can use trig functions

sin theta = opp/ hyp

sin 58 = PQ / QR

sin 58 = PQ / 15

Multiply each side by 15

15 sin 58 = PQ

15 ( .848) = PQ

12.72 = PQ

Answer 2

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:

$sineX=\frac{opposite}{hypotenuse}$

Insert the values, and let x be the unknown value of PQ:

$sin58=\frac{x}{15}$

Solve for x. Multiply both sides by 15 and simplify:

$15*(sin58)=15*(\frac{x}{15})\\\\15*sin58=x$

Insert into a calculator:

$x=15*sin58\\\\x=12.720$

Round to the nearest hundredth (two decimal places):

$x=12.72$

PQ is 12.72 units long.

:Done