27. 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 50 ft- 62° Polce a. Find the distance between A and 72° 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.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter67: Analysis Of Trigonometric Functions
Section: Chapter Questions
Problem 9A: Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch...
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Question
27. 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
50 ft-
62°
Polce
a. Find the distance between A and
72°
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.
Transcribed Image Text:27. 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 50 ft- 62° Polce a. Find the distance between A and 72° 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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