Question

Castroville Street and Vindale Avenue intersect. If the diagonal distance across the intersection is 10 meters and Castroville Street is 8 meters wide, how wide is Vindale Avenue?

Answer 1

Answer:

The length of Vindale Avenue = x = AB = 6 m

Step-by-step explanation:

Given data

Diagonal distance AC = 10 m

BC = length of castroville Street = 8 m

Let  the length of Vindale Avenue = x

Thus a Δ ABC is formed.

From the Δ ABC

$AC^{2} = AB^{2} + BC^{2}$

$10^{2} = x^{2} + 8^{2}$

$x^{2} = 100 - 64$

$x^{2} = 36$

x = 6 m

Therefore the length of Vindale Avenue = x = AB = 6 m