waheguru
  • waheguru
A bridge across a valley is 150 m in length. The valley walls make angles of 60 degrees & 54 degrees with the bridge that spans it. How deep is the valley, to the nearest metre
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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jim_thompson5910
  • jim_thompson5910
|dw:1370304961684:dw|
jim_thompson5910
  • jim_thompson5910
you first need to find the missing angle 180 - (60 + 54) = 66 degrees |dw:1370305180821:dw|
jim_thompson5910
  • jim_thompson5910
then you use this to find either x or y (by using the law of sines) |dw:1370305246288:dw|

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jim_thompson5910
  • jim_thompson5910
after you have 2 sides, and an included angle between them, you can use them in the formula A = (1/2)*b*c*sin(theta) A = area of the triangle b = side 1 c = side 2 theta = angle between side 1 and side 2
jim_thompson5910
  • jim_thompson5910
finally, when you figure out the area, you can use it to solve for h in A = (b*h)/2
waheguru
  • waheguru
So, I did it a different way. I split the triangle into two triangles and then I isolated how long ewach triangle would be then I found the depth but I was not getting the right answer
jim_thompson5910
  • jim_thompson5910
try following this method
waheguru
  • waheguru
Sir, I posted tjis question in the history section my mistake can you please take a look here http://openstudy.com/study#/updates/51ad302ce4b06ee3ee25b694

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