Answer:
28.2 m
Step-by-step explanation:
distance of Joe's tent from yours (b) = 21 m
direction of Joe's tent from yours (p) = 23°
distance of Karl's tent from yours (c) = 32 m
direction of Karl's tent from yours (q) = 37°
distance between Joe and Karl's tent (a) = ?
from the diagram attached, we can see that the positions of the three tents form a triangle and hence we can apply the cosine rule to get the distance between Joe and Karl's tent.
let the distance between Joe and Karl's tent be = a
now substituting all required values into the equation above we have
a =

a = 28.2 m