Answer:
The distance between two cars is 110.64 feet.
Step-by-step explanation:
Angle of depression is defined as an angle between the line of sight and the horizontal.
Remember in a right angled triangle, the angle of depression is always same as the angle of elevation.
If be the angle of depression then,
Given that,
Two car are travelling toward a hotel on the same road.
The height of the given building is 600 feet.
For the first car:
The angle of depression = The angle of elevation = 52°
Let the horizontal distance between the building and the car be x.
Here, , opposite = 600 feet, adjacent = x
feet
For the second car:
The angle of depression = The angle of elevation = 46°
Let the horizontal distance between the building and the car be y.
Here, , opposite = 600 feet, adjacent = y
feet
The distance between two cars is
= The distance of the second car from the building - The distance of the first car from the building
=(579.41-468.77) feet
=110.64 feet.