Question

Main street, Broad Street, and Park Street all intersect to form a right triangle. If broad Street is 75 yards ling and Park is 100 yards long, how long must Main Street be?

Answer 1

Option (D) is the correct answer.

Given:

The length of broad street is 75 yards.

The length of park street is 100 yards.

The objective is to find the length of the main street.

The length of the main street can be calculated using Pythagorean theorem.

`\begin{gathered} \text{Park}^2=Main^2+Broad^2 \\ \text{Main}^2=Park^2-Broad^2 \\ \text{Main}^2=100^2-75^2 \\ \text{Main}^2=10000-5625 \\ \text{Main}^2=4375 \\ \text{Mai}n=\sqrt[]{4375} \\ \text{Main}^{}=66.144\text{ yards} \end{gathered}`

Thus, the length of the Main street is 66.144 yards.

Hence, option (D) is the correct answer.