SOLUTION: A boy cycles 8km on a bearing of 060°.
How far is the boy North of his starting
point? Give your answer to 2 s.f.
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-> SOLUTION: A boy cycles 8km on a bearing of 060°.
How far is the boy North of his starting
point? Give your answer to 2 s.f.
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Start facing directly north.
Then turn 60 degrees toward the east (i.e. to the right).
This will align you with the bearing 060°
This is in the northeast quadrant.
Compass Rose:
Image courtesy of Wikipedia.
https://en.wikipedia.org/wiki/File:Compass_rose.png
This is what your rough sketch of the diagram should look like
The boy starts at point P and moves to point Q.
Note that 60+30 = 90.
Let's erase the vertical line and erase the "60 degree" label.
I'll add in a vertical line from Q to drop down to the horizontal line.
It has length x to represent how far north Q is compared to P.
The goal is to have a right triangle, so we can use a trig ratio to determine x.
sin(angle) = opposite/hypotenuse
sin(30) = x/8
x = 8*sin(30)
x = 8*0.5
x = 4
This value is exact.
Make sure your calculator is in degree mode.
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