Answer:
42.43 ft
Explanation:
If a 30-foot silo casts a 30-foot shadow, the measure from the tip of the shadow to the top of the silo can be found using the Pythagorean theorem.
Let's assume that the height of the silo is h and the length of the shadow is s.
According to the problem, we have:
h = 30 feet (height of the silo)
s = 30 feet (length of the shadow)
Let's denote the distance from the tip of the shadow to the top of the silo by d.
Now, we can use the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the lengths of the legs (the sides that form the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle). In other words:
a^2 + b^2 = c^2
Substituting the values we have:
30^2 + 30^2 = c^2
Simplifying:
900 + 900 = c^2
After addition:
c^2 = 1800
Taking the square root of both sides:
c = 42.43
Therefore, the measure from the tip of the shadow to the top of the silo is 42.43 feet.