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11111nata11111 [884]
3 years ago
9

a tower cast a shadow 11 feet long the distance from the top of the tower to thr end of the shadow is 61 feet how many feet tall

is the tower
Mathematics
1 answer:
zlopas [31]3 years ago
7 0
We have an rectangle triangle

Pythagoras therorem:
hypotenuse²=side₁²+side₂²

hypotenuse=61 feet
side₁=11 feet
side₂=height

(61 feet)²=(11 feet)²+ side₂²
3721 ft²=121 ft²+ side₂²
side₂²=3721 ft²-121 ft²
side₂²=3600 ft²
side₂=√(3600 ft²)
side₂=60 ft.

heigth=60 feet
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