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.
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY