Question

1. find t.

write your answer as a whole number or a decimal. do not round.
t = ______ meters

Explanation:

Step1: Identify similar triangles

Triangles $\triangle OP N$ and $\triangle RP Q$ are similar (AA similarity: right angles and vertical angles at $P$ are equal).

Step2: Set up proportion

Corresponding sides are proportional: $\frac{t}{20} = \frac{6}{12}$

Step3: Solve for $t$

Multiply both sides by 20: $t = 20 \times \frac{6}{12}$
Simplify the expression: $t = 20 \times 0.5$

Answer:

$t = 10$ meters