77. A graphic artist is creating a new logo for her company's website. In the graphics program she is using, each pixel in an image file has coordinates $(x, y)$, where the origin $(0,0)$ is at the upper left comer of the image, the $+x$-axis points to the right, and the $+y$-axis points down. Distances are measured in pixels.

 77. A graphic artist is creating a new logo for her company's website. In the graphics program she is using, each pixel in an image file has coordinates $(x, y)$, where the origin $(0,0)$ is at the upper left comer of the image, the $+x$-axis points to the right, and the $+y$-axis points down. Distances are measured in pixels. (a) The artist draws a line from the pixel location $(10,20)$ to the location $(210,200)$. She wishes to draw a second line that starts at $(10,20)$, is 250 pixels long, and is at angle of $30^{\circ}$ measured clockwise from the first line. At which pixel location should this second line end? Give your answer to the nearest pixel. (b) The artist now draws an arrow that connects the lower right end of the first line to the lower right end of the second line. Find the length and direction of this arrow. Draw a diagram showing all three lines.