Question

Wendy spots a pizza delivery car as she is looking down at a 75 degree angle from the top of her apartment building which is 145 ft tall how far away is the car from the base of the building round to the nearest hundredth
A. 45.98 ft

B. 3.56 ft

C. 38.85 ft

D. 68.78 ft

Answer 1

Answer:

C. 38.85 ft

Step-by-step explanation:

Draw a picture of the triangle formed by Wendy, the car, and the base of the building.  The side of the triangle opposite of the 75° angle is 145 feet.  The side of the triangle adjacent to the angle is x.  Use tangent:

tan 75 = 145 / x

x = 145 / tan 75

x = 38.85

The car is 38.85 feet from the base of the building.