Question

For the points C(0,2) and D(5,9), calculate the angle between CD and y axis

Answer 1

first off, let's find the length of CD, bearing in mind that point C is sitting right on the y-axis.

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad D(\stackrel{x_2}{5}~,~\stackrel{y_2}{9})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ CD=√((5-0)^2+(9-2)^2)\implies CD=√(5^2+7^2)\implies CD=√(74)`

Check the picture below.

make sure your calculator is in Degree mode.