Question

gde Sta manut Stree and Lincoln Set orm a right triangle with a trafic light at each intersection. The distance between the traffic lights on Grove Street is 233 ft and the distance between the traffic lights on Lincoln Street is 105 ft. What is the distance between the traffic lights on Walnut Street?

Answer 1

The diagram is of a right triangle with

Hypotenuse = 233

One leg of the triangle = 105

Another Leg = we have to find

Pythagorean Theorem can be written as:

$\text{Leg}^2+\text{AnotherLeg}^2=\text{Hypotenuse}^2$

Thus, we can write:

$\begin{gathered} 105^2+\text{AnotherLeg}^2=233^2 \\ \text{AnotherLeg}^2=233^2-105^2 \\ \text{AnotherLeg}^2=43264 \\ \text{AnotherLeg}=\sqrt[]{43264} \\ \text{AnotherLeg}=208\text{ ft} \end{gathered}$

Thus,

The distance between the traffic lights on Walnut Street is:

208 feet