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 angle of elevation of first observer is 15.0 ° and the angle of elevation of second observer is 24.0 ° who is at a distance of 2.35 mi from the first observer. Sketch the given information as shown in below Figure 1. Now compute the value of y using the trigonometric function tangent as follows. Substitute y for opposite side and x + 2.35 for adjacent side in tan 15.0 ° = side opposite 15 .0 ° side adjacent 15 .0 ° as shown below. tan 15 ° = y x + 2.35 y = ( x + 2.35 ) tan 15 ° Again use the trigonometric function tangent and obtain the value of y as follows. Substitute y for opposite side and x for adjacent side in tan 24.0 ° = side opposite 24

11th Edition

ISBN: 9780134508290

Author: Evans

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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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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Last Chance Mine (LCM) purchased a coal deposit for $2,918,300. It estimated it would extract 18,950 tons of coal from the deposit. LCM mined the coal and sold it, reporting gross receipts of $1.24 million, $13 million, and $11 million for years 1 through 3, respectively. During years 1-3, LCM reported net income (loss) from the coal deposit activity in the amount of ($11,400), $550,000, and $502,500, respectively. In years 1-3, LCM extracted 19,950 tons of coal as follows: (1) Tons of Coal 18,950 Depletion (2) Basis (2)(1) Rate $2,918,300 $154.00 Tons Extracted per Year Year 1 4,500 Year 2 8,850 Year 3 6,600 Note: Leave no answer blank. Enter zero if applicable. Enter your answers in dollars and not in millions of dollars. a. What is LCM's cost depletion for years 1, 2, and 3? Cost Depletion Year 1 Year 2 Year 3

Chapter 4 Solutions

EBK 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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