Question

D. 47.2
Math question no Guessing and Please show work

Answer 1

Given that measure of angle A = 72 degree

Given that measure of angle B = 16 degree

We know that sum of all angles of the triangle is 180 degree

A+B+C=180

72+16+C=180

88+C=180

C=180-88

C=92

Hence measure of angle C = 92 degree

Now we can use sine formula to find the missing side "a"

`(a)/(\sin\left(A\right))=(b)/(\sin\left(B\right))=(c)/(\sin\left(C\right))`

`(a)/(\sin\left(A\right))=(c)/(\sin\left(C\right))`

`(a)/(\sin\left(72\right))=(61)/(\sin\left(92\right))`

`(a)/(0.951)=(61)/(0.99939)`

`(a)/(0.951)=61.037232712`

a=61.037232712*0.951

a=58.0464083091

Hence final answer is approx a=58.05