Consider the non-right triangle below 19610800141.jpg Suppose that m\angle BCA=69^{\circ}, and that

peromvu 2021-11-21 Answered
Consider the non-right triangle below

Suppose that mBCA=69, and that x=32cm and y=49cm. What is the degree measure of ABC?
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Expert Answer

James Obrien
Answered 2021-11-22 Author has 16 answers

Step 1
Use cosine formula
image
x=32, y=42cm
BCA=69
ABC=?
cos69x2+y2222xy
3583=322+492222×32×49
3563×2×32×49=
11238418=1024+240122
11238418=342522
z2342511238418
z2=23011582
z=479703
cosB=z2+x2y222x
cosB=(479703)2+3224922×479703×32
Step 2
cosB=23011582+102424013070.0992
cosB924.15823070.0992
cosB3010
ABC=B=cos1(3010)
ABC=72.4811

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