Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 12.2, Problem 20WE
To determine

The length of one side of right angled triangle is given . Give the lengths of the other two sides and the angle.

Expert Solution & Answer
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Answer to Problem 20WE

  b=63,c=12

  B=60°

Explanation of Solution

Given:

  Algebra and Trigonometry: Structure and Method, Book 2, Chapter 12.2, Problem 20WE

Formula Used:

  sinθ=length of side opposite to θlength of the hypotenuse=accsinθ=a

  cosθ=length of side adjacent to θlength of the hypotenuse=bcccosθ=b

  tanθ=length of side opposite to θlength of side adjacent to θ

Calculation:

In the triangle ,

  A=30°

b = length of side adjacent to θ

a = length of side opposite to θ= 6 units

c = length of the hypotenuse

  csinA=acsin30°=6........................[A=30°,a=6]c=6(12)..............................[sin30°=12]c=12

  ccosA=b12cos30°=b.............[A=30°,c=12]1232=b....................[cos30°=32]b=63

So, b=63,c=12

Since the sum of the angles of a triangle is 180°

So,

  B=180°AC=180°30°90°=60°B=60°

Chapter 12 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 12.1 - Prob. 11OECh. 12.1 - Prob. 12OECh. 12.1 - Prob. 13OECh. 12.1 - Prob. 14OECh. 12.1 - Prob. 15OECh. 12.1 - Prob. 16OECh. 12.1 - Prob. 17OECh. 12.1 - Prob. 18OECh. 12.1 - Prob. 19OECh. 12.1 - Prob. 20OECh. 12.1 - Prob. 21OECh. 12.1 - Prob. 22OECh. 12.1 - Prob. 23OECh. 12.1 - Prob. 24OECh. 12.1 - Prob. 25OECh. 12.1 - Prob. 26OECh. 12.1 - Prob. 1WECh. 12.1 - Prob. 2WECh. 12.1 - Prob. 3WECh. 12.1 - Prob. 4WECh. 12.1 - Prob. 5WECh. 12.1 - Prob. 6WECh. 12.1 - Prob. 7WECh. 12.1 - Prob. 8WECh. 12.1 - Prob. 9WECh. 12.1 - Prob. 10WECh. 12.1 - Prob. 11WECh. 12.1 - Prob. 12WECh. 12.1 - Prob. 13WECh. 12.1 - Prob. 14WECh. 12.1 - Prob. 15WECh. 12.1 - Prob. 16WECh. 12.1 - Prob. 17WECh. 12.1 - Prob. 18WECh. 12.1 - Prob. 19WECh. 12.1 - Prob. 20WECh. 12.1 - Prob. 21WECh. 12.1 - Prob. 22WECh. 12.1 - Prob. 23WECh. 12.1 - Prob. 24WECh. 12.1 - Prob. 25WECh. 12.1 - Prob. 26WECh. 12.1 - Prob. 27WECh. 12.1 - Prob. 28WECh. 12.1 - Prob. 29WECh. 12.1 - Prob. 30WECh. 12.1 - Prob. 31WECh. 12.1 - Prob. 32WECh. 12.1 - 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Prob. 10WECh. 12.4 - Prob. 11WECh. 12.4 - Prob. 12WECh. 12.4 - Prob. 13WECh. 12.4 - Prob. 14WECh. 12.4 - Prob. 15WECh. 12.4 - Prob. 16WECh. 12.4 - Prob. 17WECh. 12.4 - Prob. 18WECh. 12.4 - Prob. 19WECh. 12.4 - Prob. 20WECh. 12.4 - Prob. 21WECh. 12.4 - Prob. 22WECh. 12.4 - Prob. 23WECh. 12.4 - Prob. 24WECh. 12.4 - Prob. 25WECh. 12.4 - Prob. 26WECh. 12.4 - Prob. 27WECh. 12.4 - Prob. 28WECh. 12.4 - Prob. 29WECh. 12.4 - Prob. 30WECh. 12.4 - Prob. 31WECh. 12.4 - Prob. 32WECh. 12.4 - Prob. 33WECh. 12.4 - Prob. 34WECh. 12.4 - Prob. 35WECh. 12.4 - Prob. 36WECh. 12.4 - Prob. 37WECh. 12.4 - Prob. 38WECh. 12.4 - Prob. 39WECh. 12.4 - Prob. 40WECh. 12.4 - Prob. 41WECh. 12.4 - Prob. 42WECh. 12.4 - Prob. 43WECh. 12.4 - Prob. 44WECh. 12.4 - Prob. 45WECh. 12.4 - Prob. 46WECh. 12.4 - Prob. 1STCh. 12.4 - Prob. 2STCh. 12.4 - Prob. 3STCh. 12.4 - Prob. 4STCh. 12.4 - Prob. 5STCh. 12.4 - Prob. 6STCh. 12.4 - Prob. 7STCh. 12.4 - Prob. 8STCh. 12.5 - Prob. 1OECh. 12.5 - Prob. 2OECh. 12.5 - Prob. 3OECh. 12.5 - Prob. 4OECh. 12.5 - Prob. 5OECh. 12.5 - Prob. 6OECh. 12.5 - Prob. 7OECh. 12.5 - Prob. 8OECh. 12.5 - Prob. 9OECh. 12.5 - Prob. 10OECh. 12.5 - Prob. 1WECh. 12.5 - Prob. 2WECh. 12.5 - Prob. 3WECh. 12.5 - Prob. 4WECh. 12.5 - Prob. 5WECh. 12.5 - Prob. 6WECh. 12.5 - Prob. 7WECh. 12.5 - Prob. 8WECh. 12.5 - Prob. 9WECh. 12.5 - Prob. 10WECh. 12.5 - Prob. 11WECh. 12.5 - Prob. 12WECh. 12.5 - Prob. 13WECh. 12.5 - Prob. 14WECh. 12.5 - Prob. 15WECh. 12.5 - Prob. 16WECh. 12.5 - Prob. 17WECh. 12.5 - Prob. 18WECh. 12.5 - Prob. 19WECh. 12.5 - Prob. 20WECh. 12.5 - Prob. 21WECh. 12.5 - Prob. 22WECh. 12.5 - Prob. 23WECh. 12.5 - Prob. 24WECh. 12.5 - Prob. 1PCh. 12.5 - Prob. 2PCh. 12.5 - Prob. 3PCh. 12.5 - Prob. 4PCh. 12.5 - Prob. 5PCh. 12.5 - Prob. 6PCh. 12.5 - Prob. 7PCh. 12.5 - Prob. 8PCh. 12.5 - Prob. 9PCh. 12.5 - Prob. 10PCh. 12.5 - Prob. 11PCh. 12.5 - Prob. 12PCh. 12.5 - Prob. 13PCh. 12.5 - Prob. 14PCh. 12.5 - Prob. 15PCh. 12.5 - Prob. 16PCh. 12.5 - Prob. 17PCh. 12.5 - Prob. 1MRECh. 12.5 - Prob. 2MRECh. 12.5 - Prob. 3MRECh. 12.5 - Prob. 4MRECh. 12.5 - Prob. 5MRECh. 12.5 - Prob. 6MRECh. 12.5 - Prob. 7MRECh. 12.5 - Prob. 8MRECh. 12.5 - Prob. 9MRECh. 12.5 - Prob. 10MRECh. 12.6 - Prob. 1OECh. 12.6 - Prob. 2OECh. 12.6 - Prob. 3OECh. 12.6 - Prob. 4OECh. 12.6 - Prob. 5OECh. 12.6 - Prob. 6OECh. 12.6 - Prob. 1WECh. 12.6 - Prob. 2WECh. 12.6 - Prob. 3WECh. 12.6 - Prob. 4WECh. 12.6 - Prob. 5WECh. 12.6 - Prob. 6WECh. 12.6 - Prob. 7WECh. 12.6 - Prob. 8WECh. 12.6 - Prob. 9WECh. 12.6 - Prob. 10WECh. 12.6 - Prob. 11WECh. 12.6 - Prob. 12WECh. 12.6 - Prob. 13WECh. 12.6 - Prob. 14WECh. 12.6 - Prob. 15WECh. 12.6 - Prob. 16WECh. 12.6 - Prob. 17WECh. 12.6 - Prob. 18WECh. 12.6 - Prob. 19WECh. 12.6 - Prob. 1PCh. 12.6 - Prob. 2PCh. 12.6 - Prob. 3PCh. 12.6 - Prob. 4PCh. 12.6 - Prob. 5PCh. 12.6 - Prob. 6PCh. 12.6 - Prob. 7PCh. 12.6 - Prob. 8PCh. 12.6 - Prob. 9PCh. 12.6 - Prob. 10PCh. 12.6 - Prob. 11PCh. 12.6 - Prob. 12PCh. 12.6 - Prob. 1CECh. 12.6 - Prob. 2CECh. 12.6 - Prob. 3CECh. 12.6 - Prob. 4CECh. 12.6 - Prob. 5CECh. 12.6 - Prob. 6CECh. 12.6 - Prob. 1ECh. 12.6 - Prob. 2ECh. 12.6 - Prob. 3ECh. 12.6 - Prob. 4ECh. 12.7 - Prob. 1OECh. 12.7 - Prob. 2OECh. 12.7 - Prob. 3OECh. 12.7 - Prob. 4OECh. 12.7 - Prob. 5OECh. 12.7 - Prob. 6OECh. 12.7 - Prob. 1WECh. 12.7 - Prob. 2WECh. 12.7 - Prob. 3WECh. 12.7 - Prob. 4WECh. 12.7 - Prob. 5WECh. 12.7 - Prob. 6WECh. 12.7 - Prob. 7WECh. 12.7 - Prob. 8WECh. 12.7 - Prob. 9WECh. 12.7 - Prob. 10WECh. 12.7 - Prob. 11WECh. 12.7 - Prob. 12WECh. 12.7 - Prob. 13WECh. 12.7 - Prob. 14WECh. 12.7 - Prob. 15WECh. 12.7 - Prob. 16WECh. 12.7 - Prob. 17WECh. 12.7 - Prob. 18WECh. 12.7 - Prob. 19WECh. 12.7 - Prob. 20WECh. 12.7 - Prob. 21WECh. 12.7 - Prob. 22WECh. 12.7 - Prob. 1PCh. 12.7 - Prob. 2PCh. 12.7 - Prob. 3PCh. 12.7 - Prob. 4PCh. 12.7 - Prob. 5PCh. 12.7 - Prob. 6PCh. 12.7 - Prob. 7PCh. 12.7 - Prob. 8PCh. 12.7 - Prob. 9PCh. 12.7 - Prob. 10PCh. 12.7 - Prob. 11PCh. 12.7 - Prob. 12PCh. 12.7 - Prob. 13PCh. 12.7 - Prob. 1MRECh. 12.7 - Prob. 2MRECh. 12.7 - Prob. 3MRECh. 12.7 - Prob. 4MRECh. 12.7 - Prob. 5MRECh. 12.7 - 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