Explanation Given information : The height of the mural on a wall 7 feet,the lower edge is 5 feet higher than eye of an observer standing 12 feet from the wall. Formula Used: Pythagorean Theorem: It states that if the right triangle has legs a , b and hypotenuse c , then sum of square of a and b will be equal to square of the hypotenuse c . a 2 + b 2 = c 2 Cosine law: If sides of scalene triangle is labeled as a , b , and c , then relationship between three sides and included angle θ between side a, side b is given below: c 2 = a 2 + b 2 − 2 a b cos C Concept Involved: We need to create a diagram based on the given information and label the unknown sides with variables. Using the Pythagorean Theorem we need to find the unknown sides. Then use the cosine law to find the included angle of two sides. Calculation: Description Steps Considering the right triangle ABC and applying the Pythagorean Theorem to relate its sides. n 2 = 12 2 + 5 2 Finding the value of n n 2 = 169 n 2 = 169 n = 13 f e e t Considering the right triangle ABD and applying the Pythagorean Theorem to relate its sides

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Chapter 1, Problem 79SP

To determine

Tofind : the angle θ

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Chapter 1, Problem 78SP

Chapter 1, Problem 80SP

Chapter 1 Solutions

Calculus

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Tofind : the angle θ

Solution Summary: The author explains the Pythagorean Theorem and the cosine law to find the included angle of two sides.

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Tofind : the angle θ

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Chapter 1 Solutions