Question
If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow?
Hint:
Pythagoras' theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
If a is the perpendicular, b is the base, and c is the hypotenuse, then according to the definition, the Pythagoras Theorem formula is given as
c2= a2 + b2
The correct answer is: the distance from the top of the man's head to the end of his shadow is 3 square root of 5 ft.
Here, Length of perpendicular(a) = 6 ft
Length of base(b) = 3 ft
Let’s say that the distance of the shadow from the top of the man's head is given as d and here that distance is the hypotenuse of the right-angled triangle.
Using Pythagoras theorem
d2 = a2 + b2
d2 = 62 + 32
d2 = 45
d = 
ft
Final Answer:
Hence, the distance from the top of the man's head to the end of his shadow is ft.
ftFinal Answer:
Hence, the distance from the top of the man's head to the end of his shadow is
ft.Related Questions to study
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If a and b have polynomial equations, then there will be a curve between a and b:
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