Answer:
[tex]82.43\ \text{feet}[/tex]
Explanation:
Angle of depression = [tex]27^{\circ}[/tex]
b = Height of building = 42 feet
[tex]\theta=90-27=63^{\circ}[/tex]
p = Distance from the car to the base of the building
From the trigonometric identities we get
[tex]\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=42\tan63^{\circ}\\\Rightarrow p=82.43\ \text{feet}[/tex]
The distance from the car to the base of the building is [tex]82.43\ \text{feet}[/tex].
