SOLUTION: a boat travels 4 miles south and then 10 miles east. How far is the boat from its starting point? (a) 7 miles (b) 5.385 miles (c) 58 miles (d) 10.77 miles Answer needs to be round

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a boat travels 4 miles south and then 10 miles east. How far is the boat from its starting point? (a) 7 miles (b) 5.385 miles (c) 58 miles (d) 10.77 miles Answer needs to be round      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 91823: a boat travels 4 miles south and then 10 miles east. How far is the boat from its starting point? (a) 7 miles (b) 5.385 miles (c) 58 miles (d) 10.77 miles Answer needs to be rounded to the nearest thousandth.
Answer by mathispowerful(115) About Me  (Show Source):
You can put this solution on YOUR website!
basically this is a right triangle problem and can be solved by Pythagorean-theorem.
the two sides that form the right angle are 4 miles and 10 miles,
so the distance from the starting point is D = sqrt%284%5E2+%2B+10%5E2%29
D = sqrt%28116%29
D = 10.770 miles
The answer is d)