Question

Help setting up this trig problem. Screenshot is attached

Answer 1

@study100

Answer 2

I can't figure it out!

Answer 3

now on west you need to find the inside angle of the triangle.

Answer 4

90-42?

Answer 5

Ohh thats where I was messing up!

Answer 6

now that you know the angles, you can use the Laws of Sines.

Answer 7

then I was doing 122*sin132/sin(74)?

Answer 8

A/sinA= B/sinB= C/sinC

Answer 9

they're asking you to find from west station to balloon. Which is WB

Answer 10

amg I did it backwards.

Answer 11

42 is on west, and 16 is on east

so 90-42= 48 degrees of west station.
90+16= 106 degrees of east station.

Answer 12

Okay thats what I had but then I got lost

Answer 13

48 deg = angle W
106 deg = angle E

we know a triangle has 180 deg
angle B= 180-48-106
angle B= 26 degrees

Answer 14

now laws of cosine
WE/sin21= WB/sin106

Answer 15

WB= (WE/sin21)(sin106)

Answer 16

WB= (122/sin21)sin(106)
WB= 327.24 miles

Answer 17

Thats not the answer tho right?

Answer 18

that should be the correct answer. :o @zepdrix Can you check my work?

Answer 19

Hmm I got 267 somehow but neither of those are options

Answer 20

Lemme check my work.

Answer 21

Could you help me with this one also? I'm blanking

Answer 22

ahhh maybe it's 90-16 on the eastern side.

Answer 23

Aw you erased the picture :d lol

Answer 24

angel west = 48 degrees
angle east = 90-16= 74 degrees
angle B= 180-48-74= 58 degrees

WE/sin58= WB/sin74
WB= (122/sin(58)) (sin74)
WB= 138.28 miles

Answer 25

so this is the correct answer, bc it says northwest of east, I think I drew the picture northeast of east. station.

Answer 26

which makes the east angle = 90-16= 74 degrees. :D

Answer 27

Mmm ok ya that looks better c: