<u>Answer:</u>
The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north.
<u>Step-by-step explanation:</u>
• To find the magnitude of the resultant vector, we have to use Pythagoras's theorem:
where:
a ⇒ hypotenuse (= resultant vector = ? mi)
b, c ⇒ the two other sides of the right-angled triangle (= 452 mil North, 767 mi West).
Using the formula:
resultant² =
⇒ resultant =
⇒ resultant = 890.3 mi
• To find the direction, we can find the angle (labeled <em>x</em> in diagram) that the resultant makes with the north direction:
⇒
⇒
∴ The plane's resultant vector is 890.3 miles, at an angle of 59.5° west of north .
