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ECOR 2606 Winter 2013 Assignment 1

Question 1: A movie is projected onto a screen with the screen image 4m tall and the bottom

of the image 3m from the ground. You are viewing the image X m from the wall and 1m from

the ground as shown in the figure below.

Remember that in Matlab the functions sin, asin, cos, acos, tan, atan all use angles measured in

radians while the functions sind, asind, cosd, acosd, tand, atand all use angles measured in

degrees.

Produce a script file (to be called Q1.m) that

1. Creates a graph (figure 1) showing the viewing angle in degrees forXfrom 0.01m to10m. The axes of the graph should be appropriately labelled (be sure to include units!),

there should be a title, and a grid should be used. Use functionfplot(NOTplot).

2. Usesfzero to determine the value(s) ofXwith a viewing angle of 25 degrees and outputsthe result in a nicely formatted message (usefprintf). If there is more than 1 solution,

provide all solutions. In preparation for part 3, ensure that the function you pass to

fzero is vector friendly.3. Creates a graph (figure 2) of the vector compatible root finding function that you used in

part (2) forXfrom 0.5 to 15m using theplotfunction (NOTfplot). The axes of the graph

should be appropriately labeled (be sure to include units!), there should be a title, and a

grid should be used.

Submit Q1.m

4m

3m

X m

1m

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