In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=64°, and RS = 16 feet. Find the length of QR to the nearest tenth of a foot.

17.8

Step-by-step explanation:

inQ=

hypotenuse

opposite

​

=

x

16

​

\sin 64=\frac{16}{x}

sin64=

x

16

​

x\sin 64=16

xsin64=16

Cross multiply.

\frac{x\sin 64}{\sin 64}=\frac{16}{\sin 64}

sin64

xsin64

​

=

sin64

16

​

Divide each side by sin 64.

x=\frac{16}{\sin 64}=17.8016\approx 17.8\text{ feet}

x=

sin64

16

​

=17.8016≈17.8 feet

17.8

Step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

i think the correct option is the second option.