Peyton and Tanner were lifting a large boulder and relocating it within their property. Peyton ispushing the boulder with a forc
e of 110 newtons at an angle of 55° with respect to the positivex-axis. Tanner is pulling the boulder with a force of 165 newtons at an angle of 42° with respectto the positive x-axis. Find the magnitude and direction (with respect to the positive x-axis) of theresultant force.
Area for a circle is . We will fill in each area and then solve for the radius. and . ∴ and r = 13. For b, and . , ∴ r = 17. For c, , and . ∴, and r = 11. For d, , and . ∴, so r = 25. And there you have it!
. We will fill in each area and then solve for the radius. 
and 
. ∴
and r = 13. For b, 
and 
. 
, ∴ r = 17. For c, 
, and 
. ∴, 
and r = 11. For d, 
, and 
. ∴, 
so r = 25. And there you have it!