Question

find w.

write your answer as a whole number or a decimal. do not round.

w = \boxed{} feet

Explanation:

Step1: Identify similar triangles

Triangles \( \triangle DEH \) and \( \triangle FEG \) are similar (by AA similarity, as they have right angles and vertical angles at \( G \)).

Step2: Set up proportion

For similar triangles, the ratios of corresponding sides are equal. So, \( \frac{w}{45}=\frac{68}{51} \).

Step3: Solve for \( w \)

Cross - multiply: \( 51w = 45\times68 \).
Calculate \( 45\times68 = 3060 \).
Then, \( w=\frac{3060}{51}=60 \).

Answer:

60