Aplane leaves the airport in galisteo and flies 170 km at 68.0° east of north; then it changes direction to fly 230 km at 36.0° south of east, after which it makes an immediate emergency landing in a pasture. when the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane?

The direction will be and the distance 250.75km.

Explanation:

Let's say A is the displacement vector which represents the first 170km and B the one for the next 230km. Then the components of these vector will be:

The vector which point from the origin to the final position of the plane will be R=A+B. We sum components on x and y independetly (vector property):

If is the direction of R then:

⇒ ⇒ .

The distance will be given by the magnitud of the vector R:

⇒ .

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energy can be converted from one form to another, but it cannot be created or destroyed in ordinary chemical or physical means. do not understand what you are asking but hope this