Given :
Distance of firefighter from the building, D = 33 feet.
Height of building, h = 45 feet.
To Find :
The angle of elevation of the cat.
Solution :
Let, angle of elevation is Ф.
We know, tan Ф = h/D
tan Ф = 45/33
Ф = tan⁻¹( 45/33 )
Ф = 53.75°
Therefore, angle of elevation is 53.75° .
Hence, this is the required solution.
Answer:
S = π( 2(9) + 2(3)(14))
Step-by-step explanation:
Here we are to select which of the options best describe the equation that could be used to find the surface area of the cylinder.
Mathematically,
the surface area of a cylinder can be calculated using the formula
S = 2 π r^2 + 2 π rh
from the question, we have r as d/2 = 6/2 = 3cm and h = 14cm
We plug these two values into the equation above
Thus, we have
S = 2 * π * 3^2 + 2 * π * 3 * 14
S = π( 2(9) + 2(3)(14))
Answer: first choice
<span>"r" represents the radius of the small circle.
"R" represents the radius of the larger circle.</span>
1. 428 pages: <em>There are a total of 428 pages</em> that you can flip to.
2. 1/428: Page 45 is <em>only one page out of the total sample space</em>.
3. 1/2: Since the last page is 428, there is an even number of pages. That means that there are<em> 214 page numbers that are even</em>. <em>214/428 = 1/2</em>.
