Answer
y = 21.25
Work Step by Step
In two similar triangles, the corresponding sides are in proportion.
Say triangle ABC is similar to triangle PQR, then
$\frac{AB}{PQ}$ = $\frac{AC}{PR}$ = $\frac{BC}{QR}$
Similarly in the two given triangles, the corresponding sides are proportional.
Thus,
$\frac{16}{10}$ = $\frac{30}{18.75}$ = $\frac{34}{y}$
So $\frac{16}{10}$ = $\frac{34}{y}$
16y = 34(10) = 340 ......(Cross multiplying both sides)
Thus, y =$\frac{340}{16}$ = 21.25
