Chapter 14, Problem 11CPE

To determine

Tofind: the value of $ST$ .

Answer to Problem 11CPE

The value of $ST$ is $22.5$ .

Explanation of Solution

Given information:

the figure provided in the question,

  $RX=16,XS=8\text{ and }XY=15$

Calculation: to find the value of $ST$ ,

Since, $XY\text{ and }ST$ are parallel, so

$\frac{XY}{ST}=\frac{RX}{RS}$

Now, substitute and simplify,

$\begin{array}{l}\frac{XY}{ST}=\frac{RX}{RS}\\ \frac{15}{ST}=\frac{16}{16+8}\text{ [substitute]}\\ 16ST=360\text{ [cross multiplication]}\\ ST=22.5\text{ [divide]}\end{array}$

Thus, the value is $22.5$ .