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KiRa [710]
3 years ago
12

Use the pythagorean theorem to solve the problem. Round your answer to the nearest tenth if necessary.

Mathematics
1 answer:
zmey [24]3 years ago
4 0

Answer:

11.31 ft

Step-by-step explanation:

Here in this problem ladder forms a right triangle with the wall of the house and it is acts as hypotenuse, length of one leg of right triangle given to be 4 feet.

Let the ladder reaches x ft height of the house.

Hence, by Pythagoras theorem:

{12}^{2}  =  {4}^{2}  +  {x}^{2}  \\  144 = 16 + {x}^{2}  \\  {x}^{2}  = 144 - 16 \\  {x}^{2}  = 128 \\ x =  \sqrt{128}  \\ x = 11.3137085 \\ x = 11.31 \: ft

Hence, the ladder reaches 11.31 ft height of the house.

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