Pythagorean theorem

Question

Using the correct formula, calculate the following: A man has a 90 foot ladder and leans the end of it against an exterior window of a house. The base of the ladder is 45 feet from the house. Calculate to the nearest foot how high it is from window to the ground? Create your own data for the height of the window from the ground and distance of the base of ladder to the house. Calculate the length of the ladder.

Answer 1

Here is a picture that represents what you have explained. the ladder measurement is 90 feet and the ground distance between the house and base of the ladder is 45 feet so you are just missing the distance to the window. Use the following:

A^2 + B^2 = C^2

C is the Hypotenuse of the right triangle which in this case is the ladder. We will call A the ground distance and B is unknown

So if you have 45^2 + B^2 = 90^2 then you just have to solve for B

2025 + B^2 = 8100

subtract 2025 from each side leaving

B^2 = 6075

Then take the square root of both sides which leaves

B= 77.942 which rounds to 78

The distance to the window is 78 Feet.  You should be able to create your own data for the remainder of the question using the same formula.

Answer 2

45^2+b^2=90^2

2025+b^2=8100

-2025         -2025

______________

b^2=6075

b^2=tt.942=78

 

 

Answer 3

the base of an extendable ladder is posioned 4 feet away from a wall.the top of the ladder is touching a point on a wall that is 10 feet above the ground.to what length has the ladder be extended

Answer 4

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4. A cabel 22 feet long runs from the top of a pole to  point  on the ground 16 foot from the base of the pole. How tallis the pole

Answer 5

well the answer might be... hehe idk

Answer 6

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Answer 7

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Answer 8

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Answer 9

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Answer 10

77.94228634

Answer 11

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