From the top of a 100 foot building, a man observes a car moving toward him. If the angle
of depression of the car changes from 20 degrees to 45 degrees during the period of observation, how far does
the car travel?

A-about 275 feet
B-about 100 feet
C-about 175 feet
D-the correct answer is not here

Respuesta :

The distance travelled by the car been observed by the man is 175 feet.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

When the depression angle is 20°, angle = 90 - 20 = 70, using trig ratio:

tan(70) = d/100

d = 275 feet

When the depression angle is 45°, angle = 90 - 45 = 45, using trig ratio:

tan(45) = d/100

d = 100 feet

Distance travelled = 275 - 100 = 175 feet

The distance travelled by the car been observed by the man is 175 feet.

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