Question

Geometry help-- picture

Answer 1

Are u familiar with trigo functions like sin, cos n tan? U need to use them to solve this prob.

Answer 2

how???

Answer 3

U can start by writing out the eqn for tan45 in triangle ABC and tan60 in triangle AGE :)

Answer 4

im still confused :/

Answer 5

tan 45 = CB/BA in triangle ABC
n
tan 60 = EG/AB in triangle AGE okay?

Answer 6

ohk u will have this eq
tan 45=58/BA
BA=?
AG=120-BA
tan 60=EG/AG
EG=?

Answer 7

\[62\sqrt{3}\]

Answer 8

is this ok?

Answer 9

I got answers but none match..

Answer 10

why non match ha ?
EG=62 tan 60
EG=62 sqrt 3

Answer 11

ohhhh. well i feel dumb

Answer 12

ohk so u got it ??

Answer 13

wat the answer u got ?

Answer 14

Well, there's also a more geometric approach instead of this trigonometry thing ur doing

Answer 15

If u notice, the left triangle is a right isosceles triangle which means BC=BA.
So 120-58= 62 so
AG=62

Answer 16

And u should see the other triangle is a 30-60-90 triangle, and there's a special relation/ratio between the 3 sides. U can look at this website.
http://regentsprep.org/regents/math/algebra/ae7/expdecayl.htm

And this tells u that GE=62 root 3

Answer 17

@nikato
this is the special relation/ratio between the 3 sides

Answer 18

Oops. How embarrassing. Wrong link.
http://www.regentsprep.org/Regents/math/algtrig/ATT2/Ltri30.htm

Answer 19

so take this fom the ratio
sin 60 /EG = sin 30 /62
which gives u
sin 60 /sin 30 = EG/62
sin 60 /cos 60 = EG/62
tan 60 =EG/62
so ull got at the end the same answer

Answer 20

I know ur right,kinda. I mean we got the same answer. But I didn't learn trig yet. So I approached it differently. But I guess it's suppose to be similar
Did u get out that link^.
It'll tell u the ratio/relations
@abbiewinter @ikram002p

Answer 21

yess its good one ^^