So I was doing my homework quite merrily until I go to the end where I ran into word problems.. (why do they always stick them at the end)
Can you guys point me into the right direction?
The minute hand on a clock is 6 cm long and the hour hand is 4 cm long. Give an expression for d , the distance between the tips of the hands, in terms of a , the angle between the hands.
What Does "d"=?
My Plan of Attack: I drew a lame picture of the clock hands neatly labeled. I noticed you can form a triangle and thus use Pythagorean to find the distance between the 2 points. But Im not sure which side is the longer side? Do you guys think it should be
2nd, I think, once I know the 3 side lengths, I can use either Cosine law or Sine law to find the angle..
And what is the question asking when they are asking for an expression for "d"?
At noon, ship A passes 8 km west of a harbour, heading due south at 10 km/h. At 9 a.m., ship B had left the harbour, sailing due south at 5 km/h. Give an expression for d , the distance between the two ships, in terms of t , the number of hours after noon.
My Plan of Attack: Confused.
I have no idea why I can't handle word problems.
TIA as always
See diagram below.
So, BD=5tShip A started from A at noon. After time t, it is at C
Ship B started at harbour(B) at 9am. At noon, it was at D.
At time t after noon, it is at E.
Is it also true that the length from point A to point B is 8km since the question said it passes 8k west? If this is the case, I can use pythagorean since a rectangle would be a right triangle.
I think I should have:
Since I know that AC=5t and BD=5t so if I minus 10t-5t, I'll know the length.