Question

What are the lengths of EF
and FG
to the nearest tenth?

Answer 1

EF = 6.49

FG = 3.96

Explanation:

We can solve this problem using sine rule, sine rule states that in a triangle ABC, we have

`(BC)/(\sin a) = (AB)/(\sin c) = (AC)/(\sin b)`

applying this to our question,

`(EG)/(\sin 86) = (FG)/(\sin 39) = (EF)/(\sin 55)`

hence,

`FG = (EG \sin 39)/(\sin 86)`

`EF = (EG \sin 55)/(\sin 86)`

calculating we get,

FG = 3.96

EF = 6.49

Hopefully this answer helped you!!!