Question

castroville street and bloomington avenue intersect. if the diagonal distance across the intersection is 9 meters and castroville street is 6 meters wide, how wide is bloomington avenue? if necessary, round to the nearest tenth. meters submit

Explanation:

Step1: Apply Pythagorean theorem

Let \( a = 6\), \( c=9\), find \( b\). The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), so \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

Substitute \(a = 6\) and \(c = 9\) into \(b^{2}=c^{2}-a^{2}\). Then \(b^{2}=9^{2}-6^{2}=81 - 36=45\).

Step3: Solve for \(b\)

Take the square root of \(b^{2}=45\). So \(b=\sqrt{45}\approx6.7\) (rounded to the nearest tenth).

Answer:

\(6.7\)