starting from point a a boat sails due south for 5 miles the

starting from point a, a boat sails due south for 5 miles, then due east 4 miles, then south again for 6 miles. how far is the boat from point a?

Solution

This statement make a right angle , which have base 5 miles, perpendicular height = 6 miles and distance(k) between last point and point a is hypotaneous.

then by pythagoras theorem:

4² + 11² = k²
16 +121= k²
k² = 137
k = sqrt(137) =11.7 miles