Problema Solution
A certain kilometer post on a road running N67E is 2km N30W of a police observation tower. Ten minutes after a car passes this post it is seen to bear N33E of the tower. If the speed limit is 50kph, was the driver over speeding or not? how fast was he driving?
Answer provided by our tutors
let d = the distance the driver made in t = 10 min = 1/6 hr
make a good drawing (at the moment we dont have the option to make drawings) and then use the Law of Sines
d/(sin(66)) = 2/(sin(34))
by solving we find
d = 3.27 km
click here to see the step by step solution of the equation
she speed of the driver v = d/t
v = 3.27/(1/6)
v = 19.62 kph
the speed of the driver was 19.62 kph
19.61 < 50
the driver was not over speeding.