Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Question

The adjacent is 12cm wide and the angle of the hypotenuse is at 35 degrees. The opposite is x.

I'm posting this here because I want to know what I did wrong regarding my calculations. I already know the answer (8.4cm, I was trying to check my work and that's what I found).

Anyway, here's what I did:

x/12 = TAN 35
x = 12 (TAN 35)
x = 12 (sqrt3 / 3)
x = 6.9

I know it's not 6.9, so... Could someone please tell me what I did wrong in my calculations? Thank you!!

Answer 1

I don't know where you got tan35 = √3/3

but tan35 = appr .700207..
and 12tan35 = 8.40249...

Answer 2

Ah, thank you so much!! I really appreciate it. ^^

Answer 3

Tan(35)=x/12
X=12 Tan(35)
12*0.7002
X=8.4