SOLUTION: Sailing to Miami. At point A the captain of a ship
determined that the distance to Miami was 13 miles.
If she sailed north to point B and then west to Miami,
the distance would
Algebra.Com
Question 298680: Sailing to Miami. At point A the captain of a ship
determined that the distance to Miami was 13 miles.
If she sailed north to point B and then west to Miami,
the distance would be 17 miles. If the distance from
point A to point B is greater than the distance from
point B to Miami, then how far is it from point A to
point B?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The directions given indicate that point A Point B and Miami form a right angled triangle.
Point A too Miami becomes the hypotenuse which is 13 miles
Let distance from A to B be x
Then distance from B to Miami will be 17-x ( because AB + B to Miami is 12)
13^ = x^2+ (17-x)^2
169 = x^2+ (289-34x+x^2)
169 =x^2+289 -34x +x^2
2x^2-34x+ 120=0
x^2 -17x +60=0
x^2-12x-5x+60=0
x(x-12)-5(x-12)=0
(x-12)(x-5) =0
x=12 or 5
RELATED QUESTIONS
A ship is sailing due east. The captain sights a buoy ahead of the ship at an
angle of... (answered by Rosseta786)
A cruise ship sailed north for 50 km. Then, the captain turned the ship eastward through... (answered by nerdybill)
On a road trip from Boston to Miami, Nancy stopped in Baltimore which is 390 miles from... (answered by edjones,checkley77)
On a road trip from Boston to Miami,
Nancy stopped in Baltimore which is 390 miles... (answered by Fombitz)
on a road trip from Bostom to Miami, Nancy stopped in Baltimore which is 390 miles from... (answered by stanbon)
The vessel sailed San Francisco USA ZD+8h at 2330h LT 29 August for Manila ZD-8h with a... (answered by Finavon)
On a recent flight from Buffalo to Miami, a distance of 1280 miles, the plane arrived 8... (answered by josmiceli)
I am trying to help my daughter with this word problem and I am struggling. Here is the... (answered by ikleyn,MathTherapy)
if a boat leaves Miami at 6:00pm and arrives in Nassau at 1:30am. How long did it take... (answered by Alan3354)