Explanation Given: The dimensions of the triangle DEF as d = 11 ft and e = 8 ft . Procedure used: “Use the tangent 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 tan θ = opp adj . 3. Solve for the unknown part.” Theorem used: Pythagoras theorem: Let d and e be the legs of the triangle DEF , and f be the hypotenuse of the triangle, then the hypotenuse is given by: f 2 = d 2 + e 2 Calculation: From the given figure, observe that the opposite side is d, adjacent side is e and the hypotenuse is f . Use tangent function and find the value of D as shown below: tan D = opp adj = d e Substitute the values d = 11 ft and e = 8 ft in the above formula and calculate the value of D as follows: tan D = 11 8 tan D = 1.375 D = tan − 1 ( 1.375 ) D = 53.97 D ≈ 54 ° That is the value of D is 54 ° . It is known that the sum of the three angles of a triangle is 54 °

MML F/COLLEGE MAT F/TRADES - ACCESS CODE

10th Edition

ISBN: 9781323845967

Author: Hobbs

Publisher: PEARSON

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Chapter 19.2, Problem 30E

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To solve: The triangle DEF and round sides to four significant digits and the angles to the nearest 0.1°.

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Chapter 19.2, Problem 29E

Chapter 19.2, Problem 31E

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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 triangle DEF and round sides to four significant digits and the angles to the nearest 0.1 ° .

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To solve: The triangle DEF and round sides to four significant digits and the angles to the nearest 0.1°.

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