# geometry

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To find the distance from the house at point D to the house at point E, a surveyor measures ÚDFE, 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 -

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 -

Thank you so much!

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