Question

find the length x.

Explanation:

Step1: Identify similar triangles

The two right - angled triangles are similar.

Step2: Set up proportion

$\frac{2}{3}=\frac{5}{x}$.

Step3: Cross - multiply

$2x = 3\times5$.

Step4: Solve for x

$x=\frac{15}{2}$.

Answer:

$\frac{15}{2}$