Triangle calculation for the resultant velocity

[DeanH87]

Homework Statement

Hi, Can someone help with the below calculation. Sample attached

Relevant Equations

See Below

Top example- How do I get to 31.7 m/s from 30.8 and 7.7? This is way over my head and need help. Thanks in advance
Dean

 

[FactChecker]

$31.748 = \sqrt { 30.8^2 + 7.7^2 }$
It is the length of the hypotenuse of the right triangle formed by the horizontal and vertical numbers.
And the 14 deg is the angle off of horizontal that those two velocities make for the combined velocity.
$14.03 = (180/\pi) * atan2(7.7, 30.8)$

 

[DeanH87]

Great! Thanks

 

[magoo]

Homework Statement:: Hi, Can someone help with the below calculation. Sample attached
Relevant Equations:: See Below

View attachment 264461Top example- How do I get to 31.7 m/s from 30.8 and 7.7? This is way over my head and need help. Thanks in advance
Dean

What do you know about resolving forces in 2 dimensions?