SW is a direction.
Make a sketch on the N-S-E-W grid
SW is in the third quadrant, dividing it into two parts of 45° each.
Draw such a line OP, marking its length as 400 mph, and O at the origin. Draw a line PR horizontally to the right and mark it 50.
So now you have a triangle POR, where OP=400, angle OPR = 45 and PR = 50
By the cosines law:
OR^2 = 400^2 + 50^2 - 2(400)(50)cos45°
= ..
OR = √ ....
Now by the Sine law:
sinR/400 = sin45/OR
We can find angle R, then the direction of OR
A plane has a velocity of 400 mph to the SW. A wind from the west is blowing at 50 mph. Find the resultant speed and direction.
How do i find resultant speed without a direction.
1 answer