SOLUTION: find the smallest angle of a 4 foot by 5 foot by 7 foot triangular table

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: find the smallest angle of a 4 foot by 5 foot by 7 foot triangular table       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 967684: find the smallest angle of a 4 foot by 5 foot by 7 foot triangular table
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the smallest angle of a 4 foot by 5 foot by 7 foot triangular table
-----------
The smallest angle is opposite the shortest side.
a = 4, b = 5, c = 7
Angles opposite are A, B & C respectively
---
Use the Cosine Law:
a%5E2+=+b%5E2+%2B+c%5E2+-+2bc%2Acos%28A%29
16+=+25+%2B+49+-+2%2A5%2A7%2Acos%28A%29
cos(A) = 58/70
A =~ 34 degrees