SOLUTION: A group of students are bushwalking. They walk north from their camp for 7.5 km, then walk west until their bearing from camp is 320c. How far are they from camp, to 1 decimal

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Question 754884: A group of students are
bushwalking. They walk north
from their camp for 7.5 km, then
walk west until their bearing
from camp is 320c. How far are
they from camp, to 1 decimal
place?
Found 2 solutions by Alan3354, Cromlix:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A group of students are
bushwalking. They walk north
from their camp for 7.5 km, then
walk west until their bearing
from camp is 320c. How far are
they from camp, to 1 decimal
place?
-----------
The interior angle of the right triangle is 40 degs
cos(40) = 7.5/d
d = 9.8 km

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Constructing a right angled triangle
with adjacent = 7.5 km
Angle =(360 - 320) 40 degrees.
To find: the hypotenuse
Using Cos = Adjacent/Hypotenuse
Cos (40) = 7.5/Hypotenuse
Hypotenuse = 7.5/cos 40
Hypotenuse = 9.8 Km (1 decimal place)
Therefore they are 9.8 km away from camp.
Hope this helps
:-)