Answer:
145 feet far is the bus stop to the man in nearest feet.
Step-by-step explanation:
Let the height of the balcony from the ground be h and the distance from the bus stop to the man be x.
As per the statement:
A man stands on a balcony 140 feet up and sees a bus stop at a 75 degree angle.
⇒ h = 140 feet and angle of depression=
We know that:
Angle of elevation = Angle of depression = 75 degree
using the sine ratio we have;
⇒
⇒
Simplify:
feet
Therefore, 145 feet far is the bus stop to the man in nearest feet.