Consider the absolute value, because we only worry about the quadrant later.


Thus, we know that the hypotenuse has a length of 4 units, and the side opposite the angle, A is √3, because this is the nature of the sine function in relation to its triangular component.
The missing side can be found using Pythagoras' Theorem:
4² - (√3)² = x²
16 - 3 = x²
13 = x²
x = √13

Since angle A is in the third quadrant, the tangent function will produce a positive angle.


Answer:
D. last option
Step-by-step explanation:
distribute the exponents outside of parentheses to terms in side to get
x^10 y^20 z^5 on top
and x^2 y^2
then you can subtract the exponents of like terms from numerator and denominator to get
x^8 y^18 z^5
Here is what I got:(maybe wrong) 12*8*3 = 288, which is how big the box is. Then, you remove 1.5 inches from the height and get 10.5*8*3, which is 252. Subtract 252 from 288 to get the answer, 36.