Question

In the figure below, the length of is 64 units and the length of is 137 units. What is the length of ?

Answer 1

Hello so you have a SIMILARITY PRINCIPLE and Equation to define

Answer 2

Sorry NO similarity -just trigonometry

Answer 3

64 is Opposite 45 - ==> it is Sin 45 * LeftBase (we call it now simply L for short, and the Right base will be R)

Answer 4

(L / Cos 45) = CA

Answer 5

CA*Sin 45 =CB

Answer 6

\[\tan 45= \frac{ 64 }{ x}\]

Answer 7

Thus L *SIn45/Cos45 = CB = 64

Answer 8

Soo L * Tan 45 = 64

Answer 9

L = 64 / tan 45

Answer 10

@Mikael tan45=1 substitute!

Answer 11

Then Just Substract : 137 - L ( that you found)

Answer 12

you need to use one of these sine cosine or tangent

Answer 13

i am so confused.

Answer 14

If you are required to f. the EG

Answer 15

use tangent
sustitue
the numbers you have with the formula of tangent

Answer 16

"Nice to be a King" (song)

Answer 17

so what is the length of ea

Answer 18

I HAVE SHOWN U HOW TO COMPUTE the EG

Answer 19

It is the Cos side , where the hypothenuse is EA

Answer 20

Soo just Divide EG/Cos 60 (and remark to any Royals reading: don' spoil the fun for the Seeker-of-Answers please...)

Answer 21

I remind you that EG was denoted R in my notation where R + L =137

Answer 22

is the anwer 146

Answer 23

With all due humblness - please grant me a medal bfowler344 . It is well earned

Answer 24

of course. i wouldnt not give you one. you have helped me. thank you

Answer 25

BTW if you "fan" me - i would gladly help with more trigonom/geometr problems. Thank U in advance

Answer 26

you'll get x= 64 now \[\tan 60 = \frac{ h }{ 73 }...h= \sqrt 3*73=126.436\] is your answer