A traffic camera sits on top of a tower that has a height of 39 ft. The angles of depression of a car on a straight road at the

Question

2 years ago

5

A traffic camera sits on top of a tower that has a height of 39 ft. The angles of depression of a car on a straight road at the

same level as that of the base of the tower and on the same side of the tower are 31°. Calculate the the distance between the base of the poll and the car. Round to the nearest tenth of a foot. *

Mathematics

1 answer:

MrMuchimi · Answer 1 · 2022-06-23T17:59:05+03:00

Answer:

48ft

Step-by-step explanation:

Distance of car A from the tower
Consider ∆ACD tan25 = 50/AC AC = 50/tan25 = 50/0.4663 = 107.2 ft

Distance of car B from the tower
Consider ∆BCD tan40 = 50/BC AC = 50/tan40 = 50/0.8391 = 59.6 ft

Distance from cars A and B AB = AC – BC = 107.2 – 59.6 = 48 ft The distance between the two cars is 48ft