Maths-
General
Easy
Question
You’re locked out of your house, and the only open window is on the second floor 25 feet above the ground. There are bushes along the side of the house that force you to put the base of the ladder 7 feet away from the base of the house. How long of a ladder will you need to reach the window?
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 length of the ladder to reach the window is 26 ft.
Here, Length of perpendicular(a) = 25 ft
Length of base(b) = 7 ft
Let’s say that the length of the ladder is d.
Using Pythagoras theorem
d2 = a2 + b2
d2 = 252 + 72
d2 = 674
d = 26 ft
Final Answer:
Hence, the length of the ladder to reach the window is 26 ft.
Final Answer:
Hence, the length of the ladder to reach the window is 26 ft.
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