A Kite is secured to a rope that is tied to the ground.a breeze blows the kite so that the rope is taught while the lite is directly above a flagpole that is 30 ft from where the rope is staked down.find the altitude of the kite if the rope is 110 ft long
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To find the altitude, use pythagoras theorem:-
H²=B²+P²
(110)²=(30)²+x²
12100=900+x²
12100-900=x²
x=105.83
So altitude of kite is 105.83 ft.
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Given:
A Kite is secured to a rope that is tied to the ground.
A breeze blows the kite so that the rope is taught while the lite is directly above a flagpole,
Base = 30 ft.
Hypotenuse = 110 ft.
To Find:
To find the altitude of the kite.
Solution:
According to the formula of pythagoras theorem,
H² = B² + P².
(110)² = (30)² + x².
12100 = 900 + x².
12100 - 900 = x².
11,200 = x².
x = 105.83.
P = 105.83 ft.
Hence, altitude of kite is 105.83 ft.
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