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.
![In ΔJKL the measure of L90 JK 58 feet and LJ 44 feet Find the measure of K to the nearest degree class=](https://us-static.z-dn.net/files/df6/d87fdd758fc476ac0835bb7e0c2fd25b.png)
Answer:
The answer is 49.
Step-by-step 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