Answer:
b ≈ 9.4 units
Step-by-step explanation:
Δ WZY and Δ XWY are similar triangles, thus the ratios of corresponding sides are equal, that is
[tex]\frac{XW}{WZ}[/tex] = [tex]\frac{XY}{WY}[/tex] = [tex]\frac{WY}{ZY}[/tex]
Calculate WZ using Pythagoras identity in right triangle WZY
WZ² = 5² + 6² = 25 + 36 = 61 ( take the square root of both sides )
WZ = [tex]\sqrt{61}[/tex] ≈ 7.81
Substituting value into the ratio
[tex]\frac{XW}{WZ}[/tex] = [tex]\frac{WY}{ZY}[/tex]
[tex]\frac{b}{7.81}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )
5b = 46.86 ( divide both sides by 5 )
b ≈ 9.4 ( to the nearest tenth )
