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Artist 52 [7]
3 years ago
9

From the top of a 150-ft building, Polly observes Tony driving a car toward her.

Mathematics
1 answer:
olasank [31]3 years ago
5 0

The car travelled 87ft.

<u>Step-by-step explanation:</u>

A) Let the distance between his initial position and the building be 'a'

Height of the building = 150ft

Angle of depression= 42°

tan 42° = a/150

0.90 = a/150

0.90 x 150 = a

a = 135ft.

B) Let the distance between the building and the final position of Tony be 'b'

Height of the building = 150ft.

Angle of depression = 18°

tan 18° = b/150

0.32 = b/150

0.32 x 150 = b

b = 48ft

The distance the car travelled = a - b

= 135 - 48

= 87 ft.

The car travelled 87ft.

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