Answer: 150.02 m
Step-by-step explanation:
Given
The height of building A is 125 m
the angle of elevation to the top of building B is [tex]18^{\circ}36'[/tex]
and the angle of depression of the base of Building B is [tex]39^{\circ}48'[/tex]
Suppose the width of the street is x
from the figure, we can write
[tex]\Rightarrow \tan (39^{\circ}48')=\dfrac{125}{x}\\\\\Rightarrow \tan (39.8^{\circ})=\dfrac{125}{x}\\\\\Rightarrow x=\dfrac{125}{\tan 39.8^{\circ}}\\\\\Rightarrow x=150.02\ m[/tex]
Thus, the width of the street is [tex]150.02\ m[/tex]
