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Advanced Timing & Trigonometry Chpt 8

True/False
Indicate whether the sentence or statement is true or false.
 

 1. 

Advanced timing involves creating a game engine that functions independently of the movie’s set frame rate
 

 2. 

Changes to the actual frame rate of the game should have little or no effect on the speed at which things move in our games.
 

 3. 

With onEnterFrame you are tied to the frame rate of the movie
 

 4. 

To determine changes for _x and _y in a positoin of an object, there are two choices: trigonometric functions or you could use vectors
 

 5. 

A right triangle is defined as any triangle that has one right angle, is obtuse, and is acute.
 

 6. 

The side that opposes the right angle in a right triangle is called the leg.
 

 7. 

A bounding circle is were you use a circular boundary around an object to hit test against.
 

 8. 

The sum of all three angles in a triangle is 270 degrees.
 

 9. 

Radians are just numbers that represent angles, like degrees.
 

 10. 

Tangent takes an angle as its argument, like sine and cosine but it returns the ratio of the sine of that angle to the cosine of that angle
 

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 11. 

To free the game from the frame rate, we must get rid of
a.
event handlers
c.
intervals
b.
onEnterFrame
d.
none of the above
 

 12. 

Timing is important in game programming because...
a.
Timing is always system dependent with Flash when using interval
c.
the onEnterFrame event handler will update game data every frame making the game run faster
b.
When we use a timer to update the game’s data, we free it from the frame rate of the system it’s playing on
d.
none of the above
 

 13. 

Trigonometry is defined as the study of
a.
triangles
c.
vectors
b.
right triangles
d.
math
 

 14. 

A right triangle...
a.
Is defined as any triangle that has a hypotenuse
c.
Is defined as any triangle that has one right angle
b.
Is defined as any triangle that has one hypotenuse and two legs
d.
both b and c
 

 15. 

Typically legs are labeled a and b in a right triangle and the hypotenuse is labeled c.  The angles are labeled...
a.
A, B, C and the label of each angle corresponds to the side that it opposes
c.
A, B, C and the label of each angle corresponds to the leg labels as well as the hypotenuse respectively
b.
A, B, C and the label of each angle corresponds to the leg label
d.
both a and c
 

 16. 

The idea that the length of the hypotenuse c, when squared (c2), is equal to the sum of the squares of the sides (a2 + b2) was discovered by...
a.
A 6th century philosopher and mathemetician named Pythagoras
c.
A 6th century philosopher and mathemetician named George Boole
b.
A 6th century philosopher and mathemetician named Buchanan
d.
none of the above
 

 17. 

Consider the following graph (Figure A)...

adv_timing_-_trig_c_files/i0190000.jpg
Figure A

...to get the length of side b you would solve for b by...
a.
b = Ax - Bx
c.
b = By - Ay
b.
b = Bx - Ax
d.
b = Ay - By
 

 18. 

Considering the Graph on Figure A, to solve for c you would take the square root of the following....
a.
(Bx - Ax)2 + (By - Ay)2 = c2
c.
(Bx - Ax) + (By - Ay) = c2
b.
(Ax - Bx)2 + (Ay - By)2 = c2
d.
(Bx - Ax)2 + (By - Ay)2 = c
 

 19. 

Angles on the Cartesian plane are drawn starting at the X axis.  These angles are given in degrees.  The angle is usually labeled...
a.
theta ()
c.
sigma (S)
b.
delta (D)
d.
beta (B)
 

 20. 

In a sine function, the ______________ is the distance that a function travels before beginning to repeat itself.
a.
loop
c.
period
b.
curve
d.
P
 

 21. 

The following graph is a representation of a ________________ in trigonometry.

adv_timing_-_trig_c_files/i0230000.jpg
a.
sine
c.
arcsine
b.
cosine
d.
arccosine
 

 22. 

SOHCAHTOA is a mnemonic device that tells us ...
a.
the relationship of the sides to the hypotenuse regardless of the lengths of the sides
d.
both a and b
b.
the relationship of the legs to the hypotenuse regardless of the lengths of the legs
e.
none of the above
c.
the relationship of the sides to theta (angles) regardless of the lengths of the sides
 

 23. 

You would use SOHCAHTOA to ...
a.
find the length of the unkown side given you have the length of one side and you know  an angle
c.
inverse trigonometric functions
b.
find the angle since we know the lengths of the sides
d.
both a and c
 

Completion
Complete each sentence or statement.
 

 24. 

You can use several different units when measureing an angle.  Flash’s _rotation property uses ____________  but trigonometric functions use ____________.
 

 

Matching
 
 
adv_timing_-_trig_c_files/i0290000.jpg
a.
arccosin
c.
arcsin
b.
arctan
 

 25. 

Indicate the correct inverse trigonometric function
 

 26. 

Indicate the correct inverse trigonometric function
 

 27. 

Indicate the correct inverse trigonometric function
 

Short Answer
 

 28. 

Write the degrees to radians function. (5 points)
 

 29. 

Write the Radians to Degrees function. (5 points)
 

Problem
 

 30. 

Using the distance formula, solve for c if the actual coordinates of point A were (6,8) and the actual coordinates of point B were (12,15). (hint: draw a picture and plug the values into the distance formula)
 



 
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