Question

Find the unknown length y in the pair of similar triangles.30 ft8 ft18 ftyy=ft(Simplify your answer. Type an integer, fraction, or a mixed number.)

Answer 1

Given the figure of two similar triangles

So, the corresponding sides are proportions

So, we can write the following ratio:

$\frac{y}{8}=\frac{18}{30}$

Solve for y using the cross product:

$y=\frac{8*18}{30}=\frac{144}{30}=4\frac{4}{5}$

So, the answer will be y = 4 4/5