Question

In ΔJKL, the measure of ∠L=90°, JK = 5.8 feet, and LJ = 4.4 feet. Find the measure of ∠K to the nearest degree.

Answer 1

The answer is 49.

Explanation:

\sin K = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{4.4}{5.8}

sinK=

hypotenuse

opposite

​

=

5.8

4.4

​

\sin K = \frac{4.4}{5.8}

sinK=

5.8

4.4

​

K=\sin^{-1}(\frac{4.4}{5.8})

K=sin

−1

(

5.8

4.4

​

)

K=49.343\approx 49^{\circ}

K=49.343≈49