Explanation Figure of the problem according to the given statement. Calculation: Angle θ can be write as θ = ( θ + α ) − α ........... (i) Now, Calculating the value of angle (?+a) and a from the properties of the triangle. Consider ΔABD tan ( θ + α ) = B D A D tan ( θ + α ) = 5 x ( θ + α ) = tan − 1 ( 5 x ) or ( θ + α ) = cot − 1 ( x 5 ) Consider ΔACD tan α = C D A D tan α = 2 x α = tan − 1 ( 2 x ) or α = cot − 1 ( x 2 ) Put angle (θ+a) and a value in equation (i) θ = ( θ + α ) − α θ = cot − 1

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 1.5, Problem 53PS

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To find : Determine the angle θ in terms of x .

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Chapter 1.5, Problem 52PS

Chapter 1.5, Problem 54PS

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Chapter 1 Solutions

Student's Solution and Survival Manual for Calculus

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Determine the angle θ in terms of x .

Solution Summary: The author calculates the value of angle (?+a) and a from the properties of the triangle.

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To find : Determine the angle θ in terms of x .

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Chapter 1 Solutions