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Answer: The height of the pole is 175.97 ( approx )
Step-by-step explanation:
Let the height of the pole is x cm,
Also, let the angle of elevation of the sun to the pole at 3 pm is
Thus, by the question,
( at 3pm the height of shadow = height of the pole)
Again, according to the question,
When the angle of elevation is ,
The height of shadow = x + 95,
Answer:
(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)
Ok, we have a rectangle of length x by r.
At the extremes of length r, we add two semicircles.
So the perimeter will be equal to:
Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).
The radius of the semicircles is r, and the perimeter of a circle is:
C = 2*pi*r
where pi = 3.14
Then the perimeter of the track is:
P = 2*x + 2*pi*r.
b) now we want to solve this for x, this means isolating x in one side of the equation.
P - 2*pi*r = 2*x
P/2 - pi*r = x.
c) now we have:
P = 660ft
r = 50ft
then we can replace the values and find x.
x = 660ft/2 - 3.14*50ft = 173ft
