Homework Help: geometry

Posted by tori on Thursday, February 16, 2012 at 10:54pm.

To find the distance from the house at point D to the house at point E, a surveyor measures ∠DFE, which he finds is 73°40'. The distance from the house at point D to point F is 15 ft, and the distance from point F to the house at point E is 28 ft. How far apart are the houses?

geometry - Steve, Friday, February 17, 2012 at 10:53am
this one is just like the one with bearings. Use law of cosines:

DE² = FD² + FE² - 2*FD*FE*cosF

DE² = 225 + 784 - 2*15*28*cos(73.666666)

DE² = 773
DE = 28
geometry - tori, Friday, February 17, 2012 at 3:09pm
Thank you so much!

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