document.write( "Question 188646: This is a triganometry problem using Vectors length and direcion. In a regatta, a sailboat sailed 33 km west and 73 km south from the port, and then took the shortest route back. Find the distance and southern most angle in the triangle.
\n" ); document.write( "I did find the distance which is 80.1 km. \n" ); document.write( "

Algebra.Com's Answer #141446 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is a triganometry problem using Vectors length and direcion. In a regatta, a sailboat sailed 33 km west and 73 km south from the port, and then took the shortest route back. Find the distance and southern most angle in the triangle.
\n" ); document.write( "I did find the distance which is 80.1 km.
\n" ); document.write( "-------------------
\n" ); document.write( "It's a right triangle, so use Pyth to find the hypotenuse.
\n" ); document.write( "d^2 = 33^2 + 73^2
\n" ); document.write( "d^2 = 1089 + 5329 = 6418
\n" ); document.write( "d = ~ 80.11 km
\n" ); document.write( "----------------
\n" ); document.write( "The tangent of the southern angle is 33/73
\n" ); document.write( "The angle is ~ 24.33º \n" ); document.write( "

\n" );