Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
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 measures the angle of elevation of a mountaintop as 12.0∘ . After walking 1.00 km closer to the mountain on level ground, she finds the angle to be 14.0∘. Find the mountain's height, neglecting the height of the woman's eyes above the ground.
A woman measures the angle of elevation of a mountaintop as 12.0°. After walking 5.55 km closer to the mountain on level ground, she finds the angle to be 14.0°
(c) Find the height y of the mountain by first solving one equation for x and substituting the result into the other equation.
In the sum A→+B→=C→, vector A→ has a magnitude of 13.4 m and is angled 44.9° counterclockwise from the +x direction, and vector C→ has a magnitude of 15.9 m and is angled 24.6° counterclockwise from the -x direction. What are (a) the magnitude and (b) the angle (relative to +x) of B→? State your angle as a positive number.
Chapter 1 Solutions
Physics for Scientists and Engineers with Modern Physics
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