BuyFind

Trigonometry (MindTap Course List)

8th Edition
Charles P. McKeague + 1 other
Publisher: Cengage Learning
ISBN: 9781305652224
BuyFind

Trigonometry (MindTap Course List)

8th Edition
Charles P. McKeague + 1 other
Publisher: Cengage Learning
ISBN: 9781305652224

Solutions

Chapter 7, Problem 1CT
To determine

To calculate:

One side of a triangle.

Expert Solution

Answer to Problem 1CT

Length of side opposite to B that is b=6.74inches.

Explanation of Solution

Given information:

  1. For triangle ABC
  2. A=32, B=70

    sideoppositetoA=a=3.8inches

  3. Use sine law to find side opposite to B=70 that is b.

Formula Used:

  1. The Law of Sines : For any triangle ΔABC ,
  2. sinAa=sinBb=sinCb

    Where a, b and c are length of three sides of triangle and A,B and C are angles opposite to these sides respectively.

Calculation:

For triangle ABC

A=32 [given]

sideoppositetoA=a=3.8inches [given]

B=70 [given]

On Applying Law of Sines on triangle ABC, we get

sinAa=sinBb

sin323.8=sin70b

b=3.8×sin70sin32=6.73846.74inches

Hence length of side opposite to B that is b=6.74inches.

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