The correct answer is
the flagpole is <span>
33 feet high</span>.
Explanation:
Please refer to the attached picture.
We know:
CD = 40 feet
AC = 5 feet
∠BDC = α = 35°
Using trigonometry, we know that the definition of the tangent of an angle is the ratio between the opposite side and the adjacent side, therefore:
tan α = BC / CD
Solving for BC:
BC = CD · <span>tan α
= 40 </span>· tan (35)
= 28 feet
In order to find the height of the flagpole, we need to add the distance of the clinometer from the ground:
AB = BC + AC
= 28 + 5
= 33
Hence, the flagpole is
33 feet high.
Answer:
3962.96 is the radius
Step-by-step explanation:
r=C
2π=24900
2·π≈3962.95808
Hope this helps. I'm really sorry. We all struggling out here. We can do it!!
Affect the size, shape, or phase of a substance.
Answer:
680
Step-by-step explanation:
Use the binomial coefficient where you choose numbers out of possible numbers and find the total amount of combinations since order does not matter:
Thus, you can make 680 three-non-repeating-number codes
Answer:
Step-by-step explanation:
Given that,
The radius of the sphere, r = 8 mm
We need to find the volume of the sphere. The formula for the volume of a sphere is given by :
Put all the values,
So, the volume of the sphere is equal to .