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?
How do I draw the diagram, that is one reason I can't solve the question...thanks!
The velocity vector with respect to the air, added to the wind speed vector, must be in the direction of Toronto. The 90 km distance does not matter to the direction result, although it affects the travel time.
I had answered that same question for you a while back in
http://www.jiskha.com/display.cgi?id=1215043939
To draw the diagram for this question, follow these steps:
1. Draw a line to represent the direction of the wind, and label it as "Wind - South" or simply "S".
2. Draw another line to represent the plane's airspeed, and label it as "Plane's Airspeed - 375 km/h".
3. From the starting point in Barrie, draw a line in the direction of Toronto, which is 90 km [S5°E] of Barrie. This line should be at a slight angle to the wind direction.
4. Label this line as "Direction to Toronto - 90 km" or simply "Toronto - 90 km".
5. Draw a line to represent the groundspeed of the airplane. This line should be the combination of the plane's airspeed and the wind's speed, resulting in an angled line between the wind direction and the direction to Toronto.
6. Label the groundspeed line as "Groundspeed - ? km/h".
Now you have a diagram that shows the wind blowing from the South, the plane's airspeed, the direction to Toronto, and the groundspeed.
To solve this question, let's start by drawing a diagram. Here are the steps to draw it:
1. Take a sheet of paper and draw two points to represent Barrie and Toronto. Label them accordingly.
2. Draw a straight line between Barrie and Toronto to represent the direct path or the "heading" towards Toronto. Label this line as "Barrie → Toronto."
3. To represent wind direction, draw an arrow pointing towards the North. Label it as "Wind from the South."
4. Measure and mark a point along the line from Barrie to Toronto, representing the distance of 90 km (the distance between the two locations). Label it as "90 km."
5. Now, from that marked point, draw another arrow pointing towards the South to represent the effect of the wind. Label it as "62 km/h."
6. To determine the direction the pilot needs to fly, we need to find the resultant of the plane's airspeed and the wind speed.
7. Draw an arrow pointing towards Toronto from the marked point, representing the airspeed of the plane (375 km/h). Label it as "375 km/h."
8. From the end of the airspeed arrow, draw another arrow connecting to the beginning of the wind arrow (the marked point). This arrow represents the resultant velocity of the plane, combining the airspeed and the wind speed.
9. Finally, measure the angle between the line connecting Barrie and Toronto and the resultant arrow. This angle represents the direction the pilot must fly to make it to Toronto.
By following these steps and drawing the diagram as described, you can determine the direction the pilot must fly to make it to Toronto.