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