Question

1. choose the correct answer if jk = 3 cm.

use the value ( s_2 = 6.2 )
find ( sin l ).
( \frac{3}{7} approx 0.4 )
( \frac{6.2}{7} approx 0.9 )
( \frac{6.2}{3} approx 2.1 )
( \frac{3}{6.2} approx 0.5 )

Explanation:

Step1: Recall sine definition for angle

For an acute angle in a right triangle, $\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}$.

Step2: Identify sides for $\angle L$

In $\triangle JKL$, right-angled at $K$, opposite side to $\angle L$ is $JK = 3$ cm, hypotenuse is $JL = 7$ cm.

Step3: Calculate $\sin L$

$\sin L = \frac{JK}{JL} = \frac{3}{7} \approx 0.4$

Answer:

$\frac{3}{7} \approx 0.4$