Answer:
Option b. 256 units2
Step-by-step explanation:
we know that
The lateral area of the prism is equal to
where
P is the perimeter of the base
H is the height of the prism
<u><em>Find the perimeter of the base</em></u>
The base is a square
so
we have
substitute in the formula
To find the length of the light pole you'll have to use the sine ratio.
sin 30 = x/43
43 (sin 30) = x
21.5 = x
Hope this helps :)
This problem is about triangles.
We must apply the trigonmetric relations to solve this.
I can see we have a right angle triangle.
Let's use the idea of the tangent.
tan (22º) = building height / shadow length
Let's plug given data on above formula:
tan(22º) = 610 ft / shadow length
I looked up and got tan(22º) = 0.40, so:
0.40 = 610 ft / shadow length
shadow length = 610 ft / 0.40
shadow length = 1,525 ft
Answer: shadow length is 1,525 ft .
x+4
___________
(x+2)|(x^2+6x+9)
-x^2-2x
__________
4x+9
-4x-8
__________
1
so the quotient is:
(x+2)(x+4)+1/(x+2)
X/8=15/12
X=10
The answer Is 10
