Let 
be the cat's speed just as it leaves the edge of the table. Then taking the point 1.3 m below the edge of the table to be the origin, the cat's horizontal position at time 
is given by
and its height is
where 
is 9.8 m/s^2, the magnitude of the acceleration due to gravity.
The time it takes for the cat to hit the ground is with
(Unfortunately, this doesn't match any of the given options...)
The cat lands 0.75 m away (horizontally) from the edge of the table, so that its speed was
(Again, not one of the answer choices...)
I'm guessing there's either a typo in the question or answers.
ANSWER:
d. x = 15, y= 15√3
EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have
We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15
We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.
x = 15
y = 15√3
Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications
The answer to this is 54. Hope this helps
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Tell Cory he needs to buy 72 boards
