Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 68P
(a)
To determine
The picture of the problem.
(b)
To determine
The labeling the picture of the problem.
(c)
To determine
The trigonometric equations relating the two selected variables.
(d)
To determine
The height
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A woman wishing to know the height of a mountain measures the angle of elevation of the mountaintop as 12.0°. After walking 1.00 km closer to the mountain on level ground, she finds the angle to be 14.0°. (a) Draw a picture of the problem, neglecting the height of the woman’s eyes above the ground. Hint: Use two triangles. (b) Using the symbol y to represent the mountain height and the symbol x to represent the woman’s original distance from the mountain, label the picture. (c) Using the labeled picture, write two trigonometric equations relating the two selected variables. (d) Find the height y.
A woman measures the angle of elevation of a mountaintop as 12.0°. After walking 2.62 km closer to the mountain on level ground, she finds the angle to be 14.0°
(a) Draw a picture of the problem, neglecting the height of the woman's eyes above the ground. Hint: Use two triangles. Select variable names for the mountain height (suggestion: y) and the woman's original distance from the mountain (suggestion: x) and label the picture.(b) Using the labeled picture and the tangent function, write two trigonometric equations relating the two selected variables. (Use the following as necessary: x and y. Do not enter units in your answers.)
tan(12°) =
tan(14°) =
(c) Find the height y of the mountain by first solving one equation for x and substituting the result into the other equation.y = km
During a visit to New York City, Lil decides to estimate the height of the Empire State Building (see figure below). She measures the angle ? of elevation of the spire atop the building as 19°. After walking x = 9.42 ✕ 102 ft closer to the iconic building, she finds the angle to be 24.0°. Use Lil's data to estimate the height h of the Empire State Building. (Enter your answer to at least the nearest foot.)
Chapter 1 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 1.2 - True or False: Dimensional analysis can give you...Ch. 1.3 - The distance between two cities is 100 mi. What is...Ch. 1.7 - Which of the following are vector quantities and...Ch. 1.8 - Prob. 1.4QQCh. 1.8 - Prob. 1.5QQCh. 1.9 - Choose the correct response to make the sentence...Ch. 1.9 - If at least one component of a vector is a...Ch. 1.9 - If A + B = 0, the corresponding components of the...Ch. 1 - Answer each question yes or no. Must two...Ch. 1 - The price of gasoline at a particular station is...
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