Answer:
Option B. The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The volume of a rectangular prism is equal to

where
B is the area of the base of the prism
H is the height of the prism
In this problem we have
The area of the base B is equal to

The height H is equal to

therefore
The volume is equal to

The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3
This will involve finding an arctangent.
We'll consider the woman's height as the "opposite" side of a triangle and the shadow as the "adjacent" side. The angle that the Sun makes equals the arc tangent of that angle.
tan (Sun's angle) = 71" / 36"
tan (Sun's angle) =
<span>
<span>
<span>
1.9722222222
</span>
</span>
</span>
when we determine the arc tangent of 1.9722222222, it will equal the Sun's angle.
arc tangent of 1.9722222222 = 63.113 degrees
0.49 is the answer because that is <span>the approximate probability</span>
Add the common like terms but first seperate them and the pair them