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Answer
Find out the how high up the wall does the ladder reach .
To proof
let us assume that the height of the wall be x .
As given
A 25-foot long ladder is propped against a wall at an angle of 18° .
as shown in the diagram given below
By using the trignometric identity
now
Base = wall height = x
Hypotenuse = 25 foot
Put in the trignometric identity
x = 23.8 foot ( approx)
Therefore the height of the ladder be 23.8 foot ( approx) .
The complete formula for circumference is:
Since we know the circumference of the circle is 314 inches, we can then solve for d, the diameter:
Using 3.14 for pi, we get:
Then solve for d:
And now we know the diameter of the circle is 100 inches.