Question

Find the missing lengths in the triangle. Round to the nearest tenth if necessary.
http://media.education2020.com/evresources/645-12-06-00-00_files/i0130000.jpg

Answer 1

a.
x = 22 in., y = 7.8 in.
c.
x = 19.1 in., y = 22 in.
b.
x = 22 in., y = 19.1 in.
d.
x = 33 in., y = 19.1 in.

Answer 2

Use the cosine/sine functions.

Answer 3

Actually, you don't need those, you can just use the 30-60-90 special triangle theorem.

Answer 4

how do you do that? lol i forgot how to do it

Answer 5

The leg across the 60 degrees angle is the long leg.
and the leg across the 30 degrees angle is the short leg.

Answer 6

LL = Long leg
SL = short leg

LL = (1/2)H √3
LL = SL √3

Answer 7

oh okay. well idk how to use the 30-60-90 thing but ik the cosine/sine functions how they work..

Answer 8

y = LL
11 = SL

y = 11√3

Answer 9

LL = 1/2 H √3

11√3 = (1/2)H √3
11 = H/2
22 = H

Answer 10

Oh, since you're not familiar with the theorem, I suggest you take a look at this for further explanation. http://www.regentsprep.org/regents/math/algtrig/ATT2/Ltri30.htm

Answer 11

thanks for all the information

Answer 12

You could also solve for y like this:
tan 30 = 11/y
and for x
sin 30 = 11/x
but this method is much easier.

Answer 13

So theres two ways.. hrmm the other way looks harder to me lol. I think its cus idk how that formula works. but i will try to study that

Answer 14

Alright.