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Dominik [7]
3 years ago
8

Maria needs to reach a window that is eight feet above the ground. When she placed a ladder so that it reached the bottom of the

window, the base of the ladder was 6 feet from the house. How long is the ladder?
Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

Answer:

10 feet

Step-by-step explanation:

Given that the distance to be reached is 8 feet above ground and she she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house, the length of the ladder considered with the other lengths forms a right angled triangle.

The length of the ladder represents the hypotenuse side hence using pythagoras theorem

F^2 = 8^2 + 6^2

where F is the length of the ladder in feet

F^2 = 64 + 36

= 100

find the root of both sides

F = 10 feet

The ladder is 10 feet long

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3 years ago
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<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E%20%5Cinfty%20%20%5Cfrac%7B%20%5Csqrt%5B%20%20%5Cscriptsize%5Cphi%
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With ϕ ≈ 1.61803 the golden ratio, we have 1/ϕ = ϕ - 1, so that

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The integrals involving tan⁻¹ disappear, and we're left with

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