A fire engine, standing near a building, extends its ladder to a length of 10 metres to reach a certain window in the building. What is the height of the window from the ground?
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Answer:
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Given : A fire engine, standing near a building, extends its ladder to a length of 10 metres to reach a certain window in the building.
To Find : What is the height of the window from the ground?
Solution:
height of the window from the ground = 3 + vertical height from truck ( ladder base)
Horizontal Distance of window/ building from ladder base = 6 m
Ladder length = 10 m
Using Pythagorean theorem
vertical height from truck ( ladder base) = √10² - 6²
= 8 m
height of the window from the ground = 3 + 8 = 11 m
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