Answer:
The distance between the Base of the building & the car is x = 83.29 ft
Step-by-step explanation:
Given data
AB = Height of the building = 75 ft
BC = distance from the base of building to the car = x ft
Angle of depression = ∠ BAC = 48°
∠ ACB = 180 - 90 - 48 = 42°
From the Δ ABC
[tex]\tan 42 = \frac{AB}{BC}[/tex]
[tex]\tan 42 = \frac{75}{x}[/tex]
x = 83.29 ft
Therefore the distance between the Base of the building & the car is x = 83.29 ft
