Explanation Approach: Trigonometric ratios In a right triangle A B C with right angle at C , sin A (pronounced “sine of A”) is the ratio opposite side of A h y p o t e n u s e cos A (pronounced “cosine of A”) is the ratio adjacent side of A h y p o t e n u s e tan A (pronounced “tangent of A”) is the ratio opposite side of A adjacent side of A Calculation: Begin by visualizing the given situation. Let A B represent the distance between the two points on the ground, one is directly below the top of the pyramid. Let B C represent the height of the pyramid. Notice the angle A and the adjacent side of A are known

Nature of Mathematics (MindTap Course List)

13th Edition

ISBN: 9781133947257

Author: karl J. smith

Publisher: Cengage Learning

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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Chapter 7.5, Problem 56PS

To determine

The height of the pyramid if the angle of elevation of the top of the pyramid from a point on the ground 351 ft from a point directly below the top is 52.0°.

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Chapter 7.5, Problem 55PS

Chapter 7.5, Problem 57PS

Chapter 7 Solutions

Nature of Mathematics (MindTap Course List)

Ch. 7.1 - Is the woman in the figure a young woman or an old...Ch. 7.1 - Is the fly in the Figure 7.11 on the cube or in...Ch. 7.1 - Prob. 3PS Ch. 7.1 - Prob. 4PS Ch. 7.1 - Prob. 5PS Ch. 7.1 - Prob. 6PS Ch. 7.1 - Prob. 7PS Ch. 7.1 - Prob. 8PS Ch. 7.1 - Prob. 9PS Ch. 7.1 - Prob. 10PS

Ch. 7.1 - Prob. 11PS Ch. 7.1 - Prob. 12PS Ch. 7.1 - Prob. 13PS Ch. 7.1 - Prob. 14PS Ch. 7.1 - Prob. 15PS Ch. 7.1 - Prob. 16PS Ch. 7.1 - Prob. 17PS Ch. 7.1 - Prob. 18PS Ch. 7.1 - Use the illustration in Figure 7.12 to draw the...Ch. 7.1 - Prob. 20PS Ch. 7.1 - Prob. 21PS Ch. 7.1 - Prob. 22PS Ch. 7.1 - Prob. 23PS Ch. 7.1 - Prob. 24PS Ch. 7.1 - Prob. 25PS Ch. 7.1 - Prob. 26PS Ch. 7.1 - Prob. 27PS Ch. 7.1 - Carry out the constructions requested in Problems...Ch. 7.1 - Prob. 29PS Ch. 7.1 - Prob. 30PS Ch. 7.1 - Prob. 31PS Ch. 7.1 - Prob. 32PS Ch. 7.1 - Prob. 33PS Ch. 7.1 - Prob. 34PS Ch. 7.1 - Prob. 35PS Ch. 7.1 - Prob. 36PS Ch. 7.1 - Prob. 37PS Ch. 7.1 - Prob. 38PS Ch. 7.1 - Prob. 39PS Ch. 7.1 - Prob. 40PS Ch. 7.1 - Prob. 41PS Ch. 7.1 - Prob. 42PS Ch. 7.1 - Prob. 43PS Ch. 7.1 - Prob. 44PS Ch. 7.1 - Prob. 45PS Ch. 7.1 - Prob. 46PS Ch. 7.1 - Prob. 47PS Ch. 7.1 - Prob. 48PS Ch. 7.1 - Prob. 49PS Ch. 7.1 - Prob. 50PS Ch. 7.1 - Prob. 51PS Ch. 7.1 - Study the patterns shown in Figure 7.13. 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If the distance from...Ch. 7.6 - Prob. 1PS Ch. 7.6 - Prob. 2PS Ch. 7.6 - Prob. 3PS Ch. 7.6 - Prob. 4PS Ch. 7.6 - Prob. 5PS Ch. 7.6 - Prob. 6PS Ch. 7.6 - Prob. 7PS Ch. 7.6 - Prob. 8PS Ch. 7.6 - Prob. 9PS Ch. 7.6 - Prob. 10PS Ch. 7.6 - Prob. 11PS Ch. 7.6 - Prob. 12PS Ch. 7.6 - Name the geometry Euclidean, elliptic, or...Ch. 7.6 - Prob. 14PS Ch. 7.6 - Prob. 15PS Ch. 7.6 - Prob. 16PS Ch. 7.6 - Prob. 17PS Ch. 7.6 - Prob. 18PS Ch. 7.6 - Prob. 19PS Ch. 7.6 - Prob. 20PS Ch. 7.6 - Prob. 21PS Ch. 7.6 - Prob. 22PS Ch. 7.6 - Prob. 23PS Ch. 7.6 - Prob. 24PS Ch. 7.6 - Prob. 25PS Ch. 7.6 - Prob. 26PS Ch. 7.6 - Prob. 27PS Ch. 7.6 - Prob. 28PS Ch. 7.6 - Consider the top, front, and side views as shown...Ch. 7.6 - Prob. 30PS Ch. 7.6 - Prob. 31PS Ch. 7.6 - Prob. 32PS Ch. 7.6 - Prob. 33PS Ch. 7.6 - Prob. 34PS Ch. 7.6 - Prob. 35PS Ch. 7.6 - Prob. 36PS Ch. 7.6 - Prob. 37PS Ch. 7.6 - Prob. 38PS Ch. 7.6 - Prob. 39PS Ch. 7.6 - Prob. 40PS Ch. 7.6 - Prob. 41PS Ch. 7.6 - Prob. 42PS Ch. 7.6 - Prob. 43PS Ch. 7.6 - Prob. 44PS Ch. 7.6 - Prob. 45PS Ch. 7.6 - Prob. 46PS Ch. 7.6 - Prob. 47PS Ch. 7.6 - Prob. 48PS Ch. 7.6 - Prob. 49PS Ch. 7.6 - Prob. 50PS Ch. 7.6 - Prob. 51PS Ch. 7.6 - Prob. 52PS Ch. 7.6 - Prob. 53PS Ch. 7.6 - Prob. 54PS Ch. 7.6 - When is an open book a closed book? 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The height of the pyramid if the angle of elevation of the top of the pyramid from a point on the ground 351 ft from a point directly below the top is 52.0 ° .

Solution Summary: The author explains how to determine the height of a pyramid if the angle of elevation of the top is 52.0°.

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The height of the pyramid if the angle of elevation of the top of the pyramid from a point on the ground 351 ft from a point directly below the top is 52.0°.

Want to see the full answer?

Chapter 7 Solutions