Question

Greatly Appreciate Any help!In △JKL, what is the length of KL?
A. 33radical3
B.66
C.33radical2
D.16.5

Answer 1

this triangle just needs to be solved id use law of sines

Answer 2

Sine is opp/hypo right?

Answer 3

just use SOH CAH TOA

Answer 4

see over view https://en.wikipedia.org/wiki/Trigonometry

Answer 5

Im already aware that i need to use soh cah toa but i dont understand how to solve using the equations

Answer 6

its just ratios so we have 33/sin30 = b/sin60

Answer 7

b is just the value i gave to the side we want to solve for, so solve for b with this equation and you have your answer, kinda hard to explain how to solve for law of sines

Answer 8

would cross multiplying be involved?

Answer 9

side opposite to 30 is half the hypotenuse,so LJ=2*33
side opposite to 60 is \(\sqrt{3}\)/2 times the hypotenuse.
so KL=\(\sqrt{3}\)/2*LJ
can u find KL from this?

Answer 10

ya we want b by itself so multiply both sides by sin60

Answer 11

Well i multiplied sin60 with 33 witch gave me about 28.57 am i correct so far?

Answer 12

no you cant use a calculator on this one, get the values of the sines with the unit circle. http://en.wikipedia.org/wiki/File:Unit_circle_angles_color.svg

Answer 13

but technically you are correct just your answer wont work with your options here

Answer 14

oh okay so i would have to calculate with radical 3/2?

Answer 15

ya

Answer 16

So my result would be 33radical3?

Answer 17

ya thats what i got

Answer 18

Thank you very much for your patience Nick! (:

Answer 19

np

Answer 20

is there any way i can reward you here, im new here so im unaware of the benefits or regulations

Answer 21

@RuthyCakes yes you can give him Medal by clicking on the "Best Response"

Answer 22

thank you (: