What was the length of the third leg of his trip? I get 6.6 but mastering physic

Question

What was the length of the third leg of his trip?

I get 6.6 but mastering physics say that it is wrong.

What was the direction of the third leg of his trip?

I got 19.8 degrees north of west (which is right)

But I can't seem to figure out why the first one is coming out wrong.

A pilot in a small plane encounters shifting winds. He flies26.0 kmdirectly north of his starting point. What was the length of the third leg of his trip? I get 6.6 but mastering physics say that it is wrong. What was the direction of the third leg of his trip? I got 19.8 degrees north of west (which is right) But I can^'t seem to figure out why the first one is coming out wrong. kmdue north. From this point, he flies an additional distance in an unknown direction, only to find himself at a small airstrip that his map shows to be70.0kmnortheast, then45.0

Explanation / Answer

Break displacements into components Dx=26cos45+xcos(theta) Dy=45+26sin45+xsin(theta) Net displacement shows, Dx=0, Dy=70 x=19.53km theta=19.8degrees

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