A plane leaves the airport in Galisto and flies 175 at 68.0 east of north and th

Question

A plane leaves the airport in Galisto and flies 175 at 68.0 east of north and then changes direction to fly 240 at 48.0 south of east, after which it makes an immediate emergency landing in a pasture.

When the airport sends out a rescue crew, how far should this crew fly to go directly to this plane?

I got 354 for my answer. I found the x and y components for each vector

The first vector being A, and second vector being B, I found
Ax = 175sin68 = 162.2571745
Ay = 175cos68 = 65.55615385
Bx = 240sin312 = -178.3547581
By = 240sin312 = 160.5913455

AB = <-340.6119326,95.03519165>
|AB| = 353.6215156 = 354 when rounded to significant figures.

What did I do wrong?

Explanation / Answer

your x and y components of the second vector are switched


Ax = 175sin68 = 162.2571745
Ay = 175cos68 = 65.55615385
Bx = 240cos312 = 160.5913455
By = 240sin312 = -178.3547581

A + B = <322.84 ,- 112.80>

|A+B| = 341.99

|A+B| = 342

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