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July 28, 2014

July 28, 2014

Posted by **Julio** on Thursday, August 9, 2012 at 6:32pm.

In what direction should the crew fly to go directly to the field? Use components to solve this problem.

How far should the crew fly to go directly to the field? Use components to solve this problem.

- physics -
**Henry**, Friday, August 10, 2012 at 12:37pmD = 84mi @ 21Deg. + 120mi @ -52Deg.

X = 84*cos21 + 120*cos(-52) = 152.3 Mi.

Y = 84*sin21 + 120*sin(-52) = -64.5 Mi.

tanA = Y/X = -64.5 / 152.3 = -.042343.

A = -22.9 Deg. = 22.9 Deg. S. of East.

D=X/cosA = 152.3 / cos(-22.9)=165.3 Mi.

= Dist.

- physics -
**Elena**, Friday, August 10, 2012 at 12:57pma=84 mi, b=120 mi c=?

a•cos21+b•cos 55 = c•cosθ

b•sin55-a•sin21= c•sinθ

c•cosθ =84• •cos21+120•cos 55 =146.5 ...(1)

c•sinθ = 120•sin55-84•sin21 = 68.16 ...(2)

Divide (2) by (1)

tanθ =68.16/146.5 = 0.465

θ =arctan0.465 = 24.95º (south of east)

From (1)

c=146.5/cos24.95 = 161.6 mi

- physics -
**Elena**, Friday, August 10, 2012 at 12:59pmMy mistake: I've used 55 instead of 52

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