Plz Answer ASAP and if possible explain how u get the answer. A graphic artist i
ID: 2271339 • Letter: P
Question
Plz Answer ASAP and if possible explain how u get the answer.
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 corner of the image, the +x-axis points to the right, and the +y-axis points down. Distances are measured in pixels. 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 210 pixels long, and is at angle of 30 degree measured clockwise from the first line. At which pixel location should this second line end? Give your answer to the nearest pixel. 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 of this arrow. Find the direction of this arrow.Explanation / Answer
setting our origin at the point 10,20 the first line has dimensions of 200,180 pixels. We can use these to figure the angle to the x axis of tan^-1(180 / 200) = 42 degrees below the x axis
adding 30 degrees to this gives a angle of 72 degrees below the x axis.
so the x coordinate of the second line will be 240cos72 + 10 = 84
and the y coordinate of the second line will be 240sin72 + 20 = 248
ANSWER 1) 84, 248
The x difference is 84 - 210 = -126
The y difference is 248 - 200 = 48
so the distance is ((-126^2) + (48^2))^0.5 =
ANSWER 2) 135 pixels
the angle of this line is tan^-1 (48 / -126) =
ANSWER 3) 159 degrees clockwise from the positive horizontal x axis