Question

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot.​

Answer 1

32.1 FT

Explanation:

Answer 2

You may use the law of sines, that states that in every triangle the ratio between a side and the sine of the opposite angle is constant.

So, in your case, we have

`\frac{QR}{\sin(\hat{S})}=\frac{RS}{\sin(\hat{Q})}`

We know that
`\hat{S}` is 90 degrees, so its sine is 1. Also, we know that RS=26. So, the equation becomes

`QR=(26)/(\sin(54))`