Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 38AP
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.
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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
Physics for Scientists and Engineers
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