Explanation Given: The dimensions of the triangle LMN as l = 15 m and L = 28 ° . Procedure used: “Use the sine function to find unknown parts of a right triangle. 1. Two of these three parts of a right triangle must be known: (a) One acute angle. (b) The side opposite the known acute angle. (c) Hypotenuse 2. Substitute the two known values in the ratio sin θ = opp hyp . 3. Solve for the unknown part.” Theorem used: “ Pythagoras Theorem Let l and m be the legs of the triangle and n be the hypotenuse of the triangle LMN, then the hypotenuse of the triangle is obtained by the formula: n 2 = m 2 + l 2 Calculation: From the figure, observe that n is the hypotenuse and L is the angle opposite to side l . Use sine function to find the value of n as shown below: sin L = opp hyp = l n That is, sin L = l n . Substitute the values l = 15 m and L = 28 ° in the above equation and calculate the value as follows: sin 28 ∘ = 15 n ( Cross multiply ) n = 15 sin 28 ∘ n = 15 0

MML F/COLLEGE MAT F/TRADES - ACCESS CODE

10th Edition

ISBN: 9781323845967

Author: Hobbs

Publisher: PEARSON

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Chapter 19.2, Problem 5E

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The value of m in the triangle LMN and round the lengths of sides to four significant digits and angles to the nearest 0.1°.

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Chapter 19.2, Problem 4E

Chapter 19.2, Problem 6E

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Chapter 19 Solutions

MML F/COLLEGE MAT F/TRADES - ACCESS CODE

Ch. 19.1 - Express as a decimal to the nearest...Ch. 19.1 - Prob. 1E Ch. 19.1 - Prob. 2E Ch. 19.1 - Prob. 3E Ch. 19.1 - Prob. 4E Ch. 19.1 - Use Fig. 197 to find the indicated trigonometric...Ch. 19.1 - Prob. 6E Ch. 19.1 - Prob. 7E Ch. 19.1 - Prob. 8E Ch. 19.1 - Prob. 9E

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The value of m in the triangle LMN and round the lengths of sides to four significant digits and angles to the nearest 0.1 ° .

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The value of m in the triangle LMN and round the lengths of sides to four significant digits and angles to the nearest 0.1°.

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Chapter 19 Solutions