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Algebra
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Nov 20th, 2014

Sqrt(16+x2)/3+ (7-x)/4 = 8/3

Sqrt(16+x2)/3 = (x/4-7/4+8/3) = 3x/12-21/12+32/12 =(3x+11)/12

4 sqrt(16+x2)= (3x+11)2

16 (16+x2) = 9x2+66x+121

7x2-66x+256-121=0

7x2-66x+135 =0

7x2-21x-45x+135=0

7x(x-3)-45(x-3) =0

(x-3)(7x-45)=0

X= 3 or x= 45/7

X= 3 is admissible

He walks (7-x) = 4 miles.

Further he has to go vertical 3 miles 

AP = sqrt(42+32) =5

Answer: AP = 5 miles

Nov 20th, 2014

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