Question

find g.
write your answer as a whole number or a decimal. do not round.
g = \boxed{} meters

Explanation:

Step1: Identify similar triangles

Triangles \( \triangle MJN \) and \( \triangle KLN \) are similar (AA similarity: \( \angle M = \angle K \), vertical angles \( \angle MNJ = \angle KN L \)). So, corresponding sides are proportional: \( \frac{g}{8} = \frac{3}{6} \).

Step2: Solve for \( g \)

Cross - multiply: \( 6g = 3\times8 \).
Simplify: \( 6g = 24 \).
Divide both sides by 6: \( g=\frac{24}{6}=4 \).

Answer:

\( g = 4 \) meters