Question

Can someone help me with number 6?

Answer 1

I am trying on this but I can solve you the 10th question

Answer 2

12.4 miles, N84.4°E

Explanation:

Split the translation over the components parallel to the direction S>N and W>E, then calculate the sum of both components, and get magnitude and direction of the movement. Here's my calculation, double check them regardless.

For the first hour, it travels
`8.5 cos 37.5` north and
`8.5 sin 37.5` east. Once the wind changes, it flies
`6*1.5 cos (180-52.5) = 9 cos 127.5` "north" ( the actual movement is southbound, which will appear calculating the cosine and getting a negative number) and
`6*1.5 sin (180-52.5) = 9 sin 127.5`. The complete movement is 1.2 miles N and 12.3 miles E. The total movement is, with the Pythagorean theorem, 12.4 miles total, and the angle it forms with the north direction is the
`tan^(-1) (12.3)/(1.2) = 84.4°`.