Question

house is 25 feet tall and a ladder is set up 35 feet away from the side of the house. Approximately how long is the ladder from the ground to the roof of the house?

Answer 1

Answer:

Step-by-step explanation:

60 feets

Answer 2

The length of ladder from the ground to the roof of the house is 43 feet

Solution:

The ladder, the roof & the wall form a right triangle.

The base is one leg of right angled triangle

The height is the other leg  of right angled triangle

The ladder acts as the hypotenuse of right angled triangle

By Pythagoras theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition, we get,

$c^2 = a^2 + b^2$

Where "c" represents hypotenuse

"a" represents length of one leg of right angled triangle

"b" represents length of other leg of right angled triangle

Here "a" = 25 ; "b" = 35 and "c" = ?

$c^2 = 25^2 + 35^2$

$c^2 = 625 + 1225 \\c^2 = 1850$

Taking square root on both sides,

$c = \sqrt{1850}\\\\c = 43$

Hence the length of ladder from the ground to the roof of the house is 43 feet

Learn more about right angled triangle

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