A police officer hiding between two bushes 50 ft from a straight highway sights two points A , and B . The angle from the police car to A is 62 ° and the angle to point B is 72 ° . a. Find the distance between A and B . Round to the nearest foot. b. Suppose that a motorist takes 2.7 sec to pass from A to B . Using the rounded distance from part (a), find the motorist's speed in ft/ sec . Round to 1 decimal place. c. Determine the motorist's speed in mph. Round to the nearest mph.
A police officer hiding between two bushes 50 ft from a straight highway sights two points A , and B . The angle from the police car to A is 62 ° and the angle to point B is 72 ° . a. Find the distance between A and B . Round to the nearest foot. b. Suppose that a motorist takes 2.7 sec to pass from A to B . Using the rounded distance from part (a), find the motorist's speed in ft/ sec . Round to 1 decimal place. c. Determine the motorist's speed in mph. Round to the nearest mph.
Solution Summary: The author calculates the distance between A and B when the police officer is hiding between two bushes.
A police officer hiding between two bushes
50
ft from a straight highway sights two points
A
, and
B
. The angle from the police car to
A
is
62
°
and the angle to point
B
is
72
°
.
a. Find the distance between
A
and
B
. Round to the nearest foot.
b. Suppose that a motorist takes
2.7
sec to pass from
A
to
B
. Using the rounded distance from part (a), find the motorist's speed in ft/
sec
. Round to
1
decimal place.
c. Determine the motorist's speed in mph. Round to the nearest mph.
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