Question

In the figure below, the length of GE 97squared3 units and the length of BG is 149 units. What is the length of AC?

Answer 1

@tiaph

Answer 2

Do you know of the sin rule?

Answer 3

No. i just need to know what to type into the calculator???

Answer 4

Well to solve this question you need to make use of something called the sin rule. If you never learnt it before, why are you doing it?

Answer 5

I know it stand for SOH opposite over hypotenuse, but idk how to put it into the calculator :( to solve it

Answer 6

@tiaph

Answer 7

Sorry was doing another question for someone else.
Never mind then i go on to solve, you just see how much you understand, and we take it from there.

Find side AG first. ( since tan(angle) = opp/adj)

AG = EG / tan 60degrees
= 97 sqrt(3) / tan 60 degrees (as tan60 is sqrt3)
=97

Knowing AG, find BA which is simple.
149 - 97= 52

Now you can finally find AC (remember cos(angle) = adj/hyp)

AC = BA/ cos45degrees
AC = 52/ (1/sqrt2)
=52sqrt(2)

Answer 8

Ok thanks