document.write( "Question 1191443: B. Magnitude of Vectors (Trigonometry)
\n" ); document.write( "2. Find the magnitude of the x- and y- components, to the nearest whole number if ||v|| = 29 units, and v has a direction angle of 25 degrees.\r
\n" ); document.write( "\n" ); document.write( "Show full solution, thank you! \n" ); document.write( "
Algebra.Com's Answer #849100 by CPhill(1959)\"\" \"About 
You can put this solution on YOUR website!
Here's how to find the x and y components of the vector *v*:\r
\n" ); document.write( "\n" ); document.write( "* **Magnitude of v (||v||):** 29 units
\n" ); document.write( "* **Direction angle (θ):** 25 degrees\r
\n" ); document.write( "\n" ); document.write( "* **x-component (v_x):** ||v|| * cos(θ)
\n" ); document.write( " v_x = 29 * cos(25°)
\n" ); document.write( " v_x ≈ 29 * 0.9063
\n" ); document.write( " v_x ≈ 26.28\r
\n" ); document.write( "\n" ); document.write( "* **y-component (v_y):** ||v|| * sin(θ)
\n" ); document.write( " v_y = 29 * sin(25°)
\n" ); document.write( " v_y ≈ 29 * 0.4226
\n" ); document.write( " v_y ≈ 12.25\r
\n" ); document.write( "\n" ); document.write( "Rounding to the nearest whole number:\r
\n" ); document.write( "\n" ); document.write( "* **x-component:** 26 units
\n" ); document.write( "* **y-component:** 12 units
\n" ); document.write( " \n" ); document.write( "
\n" );