Question

greenpoint street and stamford avenue intersect. if the diagonal distance across the intersection is 9 meters and greenpoint street is 5 meters wide, how wide is stamford avenue? if necessary, round to the nearest tenth. meters

Explanation:

Step1: Apply Pythagorean theorem

Let \( w = \) Stamford Ave width. \( 5^2 + w^2 = 9^2 \)

Step2: Calculate squares

\( 25 + w^2 = 81 \)

Step3: Solve for \( w^2 \)

\( w^2 = 81 - 25 = 56 \)

Step4: Find square root

\( w = \sqrt{56} \approx 7.5 \)

Answer:

7.5 meters