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oee [108]
3 years ago
9

A building is 2 ft from a 7 - ft fence that surrounds the property . A worker wants to wash a window in the building 11 ft from

the ground . He plans to place a ladder over the fence so it rests against the building . (See the figure .) He decides he should place the ladder 7 ft from the fence for stability . To the nearest tenth of a foot , how long a ladder will he need ?
Mathematics
1 answer:
White raven [17]3 years ago
3 0

<u>Answer:</u>

The height of the ladder is 14.491 feet

<u>Explanation</u>:

Given the height is 11 feet

Base = 7 + 2 = 9 feet

Consider the ladder to be the hypotenuse

Applying Pythagoras Theorem,  

H^2   = P^2 + B^2

Substituting the values in the above formula,

H^2  = 112 + 92

H^2  = 121 + 81

H^2 = 210

H = sqrt(210)

H = 14.491

Therefore, the height of the ladder is 14.491 feet

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Step-by-step explanation:

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<em>Additional comment</em>

The distance equation for the falling object presumes a vacuum. The sound transmission presumes the presence of air, so the question setup is self-contradictory.

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