An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane’s air speed is 375 km/h, what direction must the pilot fly to make it to Toronto? What on earth do I do? Thanks.
it's 2020 and I am struggling with this question
You want the Barrie-Toronto path to be the resultant, so draw that in with its proper direction of S5ºE. Don't worry yet about the 90 km
From Toronto, draw a line south and label it 62 km/h, join that end point to Barrie and label it 375 km/h
This line will represent the velocity and direction of the path the pilot must fly.
You can now use the sinelaw
let the angle between the Barrie-Toronto line and the flight line be ß
sinß/62 = sin175º/375
ß = .826º
So the flight path should be S 4.174º E
(check my math)
(notice the 90 km had nothing to do with it, unless there is another part to the question asking for the time taken)
Well ok, I am confused as to how to draw the diagram. But firstly, I am not sure if you accounted for this, but if a wind is coming from the South, you drawing it pointing in the North direction, if you are coming from somewhere, it means you are travelling in the opposite direction. So, I'm not sure if that will affect your answer at all. Please get back to me though. I appreciate this!
Would you not agree that the pilot would have to head into a direction slightly to the left of Toronto to allow for the wind?
So how about just drawing a line slightly west of Toronto and going past Toronto, label it 375 km. At its endpoint draw a line going north (the wind is coming from the south), label it 62km.
Now draw line from the end of that back to Barrie. That line should make a 5º angle with the vertical, right?
So by alternate angles (remember the parallel line stuff?), the angle at Toronto should be 90+85 = 175º
Make sure the pilot misses the CN Tower, lol
Ok, I'm still not sure if I drew this correctly (yeah, I know...I have spatial issues lol). So, is there any way I can send you a picture of what I drew, or can you send me a picture of what you drew? It looks wrong, what I have, because my wind is not straight lol. hhmhm if not, thanks a lot, and I'll hopefully figure it out.
the correct answer is S4.8E as per key answers
but I tried this question 10 times I could not get this answer!!!
The answer is S4.29°E.
Express in component form and simplify.