Question

find d.
j (angle) k (angle)
75 ft
75 ft
l (right angle)
n (angle) m (angle)
25 ft
write your answer as a whole number or a decimal. do not round.
d = \boxed{} feet
submit
work it out

Explanation:

Step1: Identify Similar Triangles

Triangles \( JKL \) and \( NML \) are similar (by AA similarity, as vertical angles at \( L \) are equal and base angles at \( J,K \) and \( N,M \) are equal).

Step2: Set Up Proportion

In similar triangles, corresponding sides are proportional. So, \(\frac{JK}{NM}=\frac{KL}{ML}\). Given \( JK = 75 \) ft, \( NM = 25 \) ft, \( KL = 75 \) ft, and \( ML = d \). Substituting values: \(\frac{75}{25}=\frac{75}{d}\).

Step3: Solve for \( d \)

Cross - multiply: \( 75d=25\times75 \). Divide both sides by 75: \( d = 25 \).

Answer:

25