Asked by Connor

A boat sailing from A to B travels in a straight line until the captain realizes he is off course. The boat is turned through an angle of 60 degrees, then travels another 10 km to B. The trip would have been 4 km shorter if the boat had gone straight from A to B. How far did the boat travel?
Answered by agrin04
Assume that the distance travelled before turning 60 degrees is x
The total distance travelled = x+10
Distance A-B in straight line = x + 6

Use the cosine rule:
(x+6)^2 = x^2 + 100 - (2*x*10*cos(120))

Finish the calculation, you'll find x. Total distance travelled will be (x + 10)
Answered by Anonymous
15.8
Answered by Anonymous
32
Answered by Anonymous
32+10=42km
Answered by Anonymous
maths
Answered by Anonymous
42km
Answered by Armand
Don't do it, itll take too long and send you into a long phase of depression, I'm warning you math is a dangerous sensation. Get out! Now!
There are no AI answers yet. The ability to request AI answers is coming soon!