SOLUTION: A local merchant currently has a triangular gravel parking lot for her customers. The measurements of the lot are 170 feet by 80 feet by 120 feet. Determine the total cost to pave

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Question 1043639: A local merchant currently has a triangular gravel parking lot for her customers. The measurements of the lot are 170 feet by 80 feet by 120 feet. Determine the total cost to pave the lot if the price is ​$1.15 per square foot.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Seem to be all acute angles, if try checking with Pythagorean Theorem formula. You can take 170 foot length as a base. Look for a "height". Choosing to find angle measure x where the 170 foot meets the 80 foot,
170%5E2%2B80%5E2-2%2A170%2A80%2Acos%28x%29=120%5E2
-2%2A170%2A80%2Acos%28x%29=120%5E2-170%5E2-80%5E2
cos%28x%29=%28-120%5E2%2B170%5E2%2B80%5E2%29%2F%282%2A170%2A80%29
cos%28x%29=%28170%5E2%2B80%5E2-120%5E2%29%2F%282%2A170%2A80%29
highlight_green%28cos%28x%29=0.76838%29
highlight_green%28x=0.69449%2Aradians%29 or 39.79 degrees

Area of parking lot:
%281%2F2%29170%2A80%2Asin%28x%29
%281%2F2%29170%2A80%2Asin%2839.79%29 using degrees
highlight%284351.8%2Asquarefeet%29

The PRICE is given, so use it to find the COST for that area.