If a plane flies due north for 70km, then due west for 145km, what would the compass bearing be for the plane from its starting point? Please email me once you have the result at jodie.jebb
Sorry, can not email to you.
The word compass bearing is used correctly here.
tangent of angle north from west axis = 70/145
tan^-1 (70/145) = 26 deg so
bearing = 270+26 = 296 degrees clockwise from North
this is approximately west north west
Thanks Damon.
Where did you get the 270 from?
To find the compass bearing of the plane from its starting point, you can use trigonometry. Here's how you can calculate it step by step:
1. Draw a diagram: Start by drawing a diagram to represent the plane's path. Draw a line going north for 70km and then draw another line going west for 145km.
2. Determine the right-angled triangle: The path of the plane forms a right-angled triangle. The north segment is the triangle's side adjacent to the angle you want to find, and the west segment is the triangle's side opposite to the angle you want to find.
3. Apply trigonometry: To find the angle, you need to use tangent, which is the ratio of the opposite side to the adjacent side. In this case, the opposite side is 145km (west segment), and the adjacent side is 70km (north segment).
tangent(angle) = opposite / adjacent
tan(angle) = 145 / 70
4. Solve for the angle: Use inverse tangent (tan^(-1)) to find the angle.
angle = tan^(-1)(145 / 70)
Using a calculator, the angle is approximately 63.43 degrees.
5. Determine the compass bearing: The compass bearing is typically measured clockwise from due north. So, to find the compass bearing, subtract the angle from 90 degrees.
compass bearing = 90 - 63.43
compass bearing = 26.57 degrees
Therefore, the compass bearing for the plane from its starting point is approximately 26.57 degrees.