Question

Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of S to the nearest whole degree? 19° 26° 30° 33°

Answer 1

we know that
applying the law of cosines
a² = b²+ c² – 2*b*c*cos(A)
cos (A)=[b²+c²-a²]/[2*b*c]
in this problem
a=10
b=17
c=18
so
cos (A)=[17²+18²-10²]/[2*17*18]-----> cos (A)=0.8382
A=arc cos (0.8382)-----> A=33.05°-----> A=33°

the answer is
33 degrees

Answer 2

Answer:

we know that

applying the law of cosines

a² = b²+ c² – 2*b*c*cos(A)

cos (A)=[b²+c²-a²]/[2*b*c]

in this problem

a=10

b=17

c=18

so

cos (A)=[17²+18²-10²]/[2*17*18]-----> cos (A)=0.8382

A=arc cos (0.8382)-----> A=33.05°-----> A=33°

the answer is

33 degrees

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