Pythagoras theorem

A man wants to reach a window that is 40 feet above the ground. The distance from the foot of the ladder to the wall is 9 feet. How long should the ladder be?

Expert Solution

This question requires the knowledge of the Pythagoras theorem (a²+b²=c²) where a represents the height, b represents the base and c represents the hypotenuse. in our question, the height is 40ft and the base is 9ft. we, therefore, use the formula to determine the hypotenuse which will represent the height of the ladder. the working is shown below:

40²+9² = c²

1600+81 = c^{2 =}1681

we find the square root of 1681 to get the value of c

c = 1681^0.5

c = 41ft

we, therefore, find that the height of the ladder will be 41ft

the height of the ladder is given by the length of the hypotenuse of the right-angled triangle which is 41ft

joseph irungu answered 2 years ago

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Pythagoras theorem

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