To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which is found to be 70°, and then walks off the distance to each house, 50 feet(A to C) and 70 feet(C to B), respectively. How far apart are the houses? (answer to 1 decimal place) in feet

- anonymous

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- amistre64

so we got a ABC tri
AC =50 ;BC = 70 and angle c=70 degrees
law of cosines

- amistre64

(AB)^2 = 50^2 + 70^2 -2(50)(70) cos(70)

- amistre64

google gives me:
sqrt((50^2) + (70^2) - (2 * 50 * 70 * cos(70))) = 54.4680234

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## More answers

- amistre64

54.5

- anonymous

the answer is wrong :)

- anonymous

would the answer be 85.8?

- amistre64

##### 1 Attachment

- amistre64

i got the 50 and 70 backwards in the diagram; but that doesnt affect the answer

- anonymous

ye true. when i calculated it i got 85.8? calc error?

- amistre64

2500 + 4900 - 7000(cos(70)) = 54.4680

- amistre64

well; the square root of that equals 54.4680

- amistre64

54.4; try that?

- anonymous

sry im gettin 70.75

- amistre64

then your hitting the wrong button lol

- amistre64

did you typo the original question you posted?

- anonymous

nah i typed it correctly. could it be the picture u drew?

- amistre64

the picture? lol.... that doesnt affect the math

- amistre64

i labeld it and everything lol

- anonymous

i put in 70.8. that is the correct answer

- amistre64

what formula did you use?

- anonymous

the exact same that you used. i think its just a calc error

- amistre64

i used afew different calculators :)

- anonymous

haha lol. hey do u know how i can put a pic with my question?

- amistre64

http://www.wolframalpha.com/input/?i=sqrt%2850^2+%2B70^2+-%282*70*50*cos%2870%29%29%29

- amistre64

if you have it in a file on your comluter; just use the 'attach file' button located at the bottom of this reply window

- amistre64

wolfram says your right lol

- anonymous

lol but i give u all the credit hahaha

- amistre64

my calcs were in radians disguised as degrees lol

- amistre64

70 rads is not the same as 70 degrees

- anonymous

hahah. i always do that mistake

- amistre64

there should be a "are you sure your not forgetting something" option that pops up lol

- anonymous

haha if only!! that would be epic.

- anonymous

mate which country r u from?

- amistre64

usa... down here in florida

- anonymous

wow thats a long way from here!! im down under at australia

- amistre64

yeah; but it shorter if you go thru hyperspace ;)

- anonymous

hahahaha true that!!! you better invent that one day

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