In ΔKLM, the measure of ∠M=90°, the measure of ∠K=36°, and LM = 6.2 feet. Find the length of KL to the nearest tenth of a foot.

10.5 feet

Step-by-step explanation:

SOH-CAH-TOA

\sin K = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{6.2}{x}

sinK=

hypotenuse

opposite

​

=

x

6.2

​

\sin 36=\frac{6.2}{x}

sin36=

x

6.2

​

x\sin 36=6.2

xsin36=6.2

Cross multiply.

\frac{x\sin 36}{\sin 36}=\frac{6.2}{\sin 36}

sin36

xsin36

​

=

sin36

6.2

​

Divide each side by sin 36.

x=\frac{6.2}{\sin 36}=10.5481\approx 10.5\text{ feet}

x=

sin36

6.2

​

=10.5481≈10.5 feet

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p