Question

The figure below shows four locations on a map.
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0309_03/image0044e245f74.jpg
Location 1 and Location 3 are 300 km apart.

Location 1 and Location 4 are less than 200 km apart.

Location 1 and Location 3 are 200 km apart.

Location 1 and Location 4 are more than 300 km apart.


I'm certain the answer is C?

Answer 1

how certain are you

Answer 2

haha well I was pretty certain until you asked xD

Answer 3

@ash2326 what do you think?

Answer 4

correct me if im wrong..but dont you just use sines/cosines here?

Answer 5

location 1 and 2= 300 km
angle opposite to them=85 degrees
angle opposite to location 1 and 4= (180-85)=95 degrees
larger the angle the larger the side opposite to it
for 85 we have 300 ( location 1 and location 2)
for 95 degrees it'd be greater than this so

location 1 and location 4 are more than 300 km

Answer 6

or is it only applicable in right triangles?

Answer 7

@lgbasallote you could use sin/ cosines here also

Answer 8

Ah! Thank you guys! sorry for that confusion

Answer 9

no there's no 90 degrees :/

Answer 10

there needs to be a 90 degree angle to be able to use sines and cosines

Answer 11

@lgbasallote
for a triangle with angle A, B and C
and sides a, b, c
\[\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{c}\]

Answer 12

ah yes sine law

Answer 13

what i was referring to as sine/cosine was opp and adj so there was a bit of misinterpretation heh

Answer 14

no worries :D

Answer 15

but i dont think her lesson is sine law...a minute ago she was asking triangle similarity o.O

Answer 16

it would be fun to use sine law though :/

Answer 17

so much easier than manipulation

Answer 18

yes:D