Explanation Formula used: Let A be an acute angle of a right triangle. Then the six trigonometric functions of A are as follows. sin A = side opposite A hypotenuse , cos A = side adjacent A hypotenuse , tan A = side opposite A side adjacent A , csc A = hypotenuse side opposite A , sec A = hypotenuse side adjacent A , cot A = side adjacent A side opposite A Calculation: Given that, the length and width of the tablet are 2048 pixels and 1536 pixels respectively. Consider a right angled triangle with the legs 2048 and 1536. Use Pythagoras theorem and obtain the hypotenuse of the right triangle as follows. c 2 = 2048 2 + 1536 2 c = 2048 2 + 1536 2 c = 6 , 553 , 600 c = 2560 Thus, the diagonal of the screen is 2560. Since the longer side of the right triangle is 2048, the angle between the diagonal and the longer side can be obtained by using the cosine function. cos A = side adjacent A hypotenuse cos A = 2048 2560 A = cos − 1 ( 2048 2560 ) A ≈ 36

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 4.4, Problem 42E

To determine

The angle between the longer side and the diagonal of the screen and find the length and width of the screen.

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Chapter 4.4, Problem 41E

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Chapter 4 Solutions

Basic Technical Mathematics

Ch. 4.1 - Change 17°24′ to decimal form. Ch. 4.1 - Prob. 2PE Ch. 4.1 - Prob. 3PE Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E

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