Question

write your answer as a whole number or a decimal. do not round.
j = \square feet

Explanation:

Step1: Identify similar triangles

$\triangle NJM \sim \triangle NKL$ (by AA similarity, right angles and shared $\angle N$)

Step2: Set up proportion

Corresponding sides are proportional:
$\frac{j}{KL} = \frac{NM}{NL}$
Substitute values: $\frac{j}{6} = \frac{4}{8}$

Step3: Solve for $j$

Multiply both sides by 6:
$j = 6 \times \frac{4}{8}$
Simplify the expression: $j = 6 \times 0.5$

Answer:

3 feet