Chapter 6.9, Problem 20STP

To determine

To find: The value of missing side SQ in two similar triangles PRT and SRQ .

Answer to Problem 20STP

The distance between golf courses is 72 ft . Or, option J is correct answer.

Explanation of Solution

Given information: 

Two similar triangles PRT and SRQ, in which RP is 7 ft , RS is $21+7=28$ ft and PT is 18 ft and missing side SQ is shown as x.

Concept used:

In similar triangles, the ratio of corresponding sides is equal always. So, in said given similar triangles,

  $\frac{SQ}{PT}=\frac{RS}{RP}$

Calculation:

Based on above ratio set,

  $\frac{x}{18}=\frac{28}{7}$

On cross multiply,

  $x=\frac{28\times 18}{7}=18\times 4=72$

Based on above concept, the measure of missing side SQ is 72 ft ..