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The sun is 30° above the horizon. It makes a 52-m-long

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli ISBN: 9780130606204 3

Solution for problem 59GP Chapter 1

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

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Problem 59GP

The sun is 30° above the horizon. It makes a 52-m-long shadow of a tall tree. How high is the tree?

Step-by-Step Solution:
Step 1 of 3

ANSWER: STEP 1:- The sun is 30° above the horizon, that means it makes an angle of 30° with the horizontal plane. To illustrate this, we require a schematic diagram which is shown below. In the above figure, AB line represents the tree and BC line represents the distance from the tree. As the sun light incidents on top of the tree, the shadow it will create will be equal to the length of BC line which is 52 m. The above diagram looks like a right angled triangle ABC, whose base we know already. Here, AB is the perpendicular or the height of right angle triangle, BC is the base and AC is the hypotenuse. STEP 2:- Having the angle and base we can calculate the height very easily. 0 = 30 0 tan = tan 30 0 perpendicular / base = tan 30 height / BC = 0.577 height / 52 = 0.577 height = 0.577×52 height = 30.022 m The reason to choose the “tan” ratio of 30 is because “tan” is the only ratio which has the information about both height and base simultaneously. “Cot” function can also be used, as it is the reciprocal of “tan” function. So the student is challenged to do the problem with the help of “cot” function CONCLUSION: So, we found that the height of the tree would be 30 meter approximately.

Step 2 of 3

Chapter 1, Problem 59GP is Solved
Step 3 of 3

Textbook: Physics: Principles with Applications
Edition: 6
Author: Douglas C. Giancoli
ISBN: 9780130606204

Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. The answer to “The sun is 30° above the horizon. It makes a 52-m-long shadow of a tall tree. How high is the tree?” is broken down into a number of easy to follow steps, and 21 words. The full step-by-step solution to problem: 59GP from chapter: 1 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. Since the solution to 59GP from 1 chapter was answered, more than 352 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. This full solution covers the following key subjects: tree, shadow, long, makes, horizon. This expansive textbook survival guide covers 35 chapters, and 3914 solutions.

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The sun is 30° above the horizon. It makes a 52-m-long