Question

find the length x.

Explanation:

Step1: Identify similar triangles

The two right triangles are similar by AA similarity (vertical angles are equal, right angles are equal). Corresponding sides are proportional: $\frac{x}{3} = \frac{7}{1.5}$

Step2: Solve for x

Multiply both sides by 3 to isolate x:
$x = \frac{7 \times 3}{1.5}$

Step3: Calculate the value

Simplify the expression:
$x = \frac{21}{1.5} = 14$

Answer:

14