Answer:
46 meters
Explanation:
In the figure you can see law of cosines.
In your case
α = 22.5° + 42 ° = 64.5 °
b = 15 m (distance between your's tent and Joe's tent)
c = 42 m (distance between your's tent and Karl's tent)
a is the distance between Joe's tent and Karl's tent
Replacing in the first equation:
[tex]a^2 = 15^2 m^2 + 42^2 m^2 - 2 \times 15 \times 42 \times cos(64.5) [/tex]
[tex] a = \sqrt{2111.46 m^2} [/tex]
[tex] a = 46 m [/tex]
