Question

in the figure, the triangles are similar. what is the distance d from the water ride to the roller coaster? round to the nearest tenth.

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. So we have $\frac{d}{10}=\frac{45}{21}$.

Step2: Solve for $d$

Cross - multiply to get $21d = 45\times10$, then $21d=450$. Divide both sides by 21: $d=\frac{450}{21}\approx21.4$.

Answer:

$21.4$