Question

How do I get the answer of b and c?

Answer 1

Given the right triangle ABC

C = 90°

c = hyppotenusse

A=80°

a=18

B= 180-80-90 = 10°

Using the law of sines

`(a)/(Sin(A))=(b)/(Sin(B))=(c)/(Sin(C))`
`(18)/(Sin(80))=(b)/(Sin(10))=(c)/(Sin(90))`

Solving for b

`(18)/(sin(80))=(b)/(sin(10))`
`sin\left(10\right)*(18)/(sin(80))=b`
`b=3.174`

Solving for c

`(18)/(s\imaginaryI n(80))=(c)/(s\imaginaryI n(90))`
`s\mathrm{i}n(90)*(18)/(s\imaginaryI n(80))=c`
`c=18.278`