Question

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

Explanation:

Step1: Identify similar triangles

Triangles \( HGI \) and \( HKJ \) are similar (by AA similarity, as both are right - angled and share \( \angle H \)). For similar triangles, the ratios of corresponding sides are equal. So, \(\frac{u}{5.6}=\frac{3}{10.5}\)

Step2: Solve for \( u \)

Cross - multiply to get \( u\times10.5 = 5.6\times3\). Then, \( u=\frac{5.6\times3}{10.5}\)
Calculate \( 5.6\times3 = 16.8 \), and then \( u=\frac{16.8}{10.5}=1.6\)

Answer:

\( 1.6 \)