Sunday

April 20, 2014

April 20, 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

**Related Questions**

Physics - A plane leaves Seattle, flies 84.0 at 21.0 north of east, and then ...

physics - A plane leaves Seattle, flies 77.0 mi at 22.0 degrees north of east, ...

Chem104 - Calculate the specific heat \((\rm{J/g \; ^\circ C})\) for a 18.5-\(\...

chemistry - Calculate the specific heat (\rm{J/g \; ^\circ C}) for a 18.5-\rm g ...

chem - Calculate the specific heat (\rm{J/g \; ^\circ C}) for a 18.5-\rm g ...

physics - A plane leaves Seattle, flies 85 mi at 22 degrees north of east, and ...

chemistry - assuming complete dissociation of the solute, how many grams of \rm ...

chemistry - How many grams of water can be cooled from 35^\circ {\rm C} to 16^\...

chemistry - 25.6 {\rm mL} of ethanol (density =0.789 {\rm g}/{\rm mL}) initially...

chemistry - Calculate the amount of heat required to heat a 3.6{\rm kg} gold bar...