Question

1. look at triangle jkl. which expression can be used to find the measure of angle l? a $\cos ^{-1}\frac{kl}{jk}$ c $\cos ^{-1}\frac{jk}{jl}$ b $\sin ^{-1}\frac{kl}{jk}$ d $\sin ^{-1}\frac{jk}{jl}$

Explanation:

Step1: Recall the sine function definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify sides relative to angle $L$

For angle $L$ in right - triangle $JKL$, the side opposite to angle $L$ is $JK$, and the hypotenuse is $JL$.

Step3: Use the inverse sine function

If $\sin L=\frac{JK}{JL}$, then $L = \sin^{-1}\frac{JK}{JL}$.

Answer:

D. $\sin^{-1}\frac{JK}{JL}$