Asked by Sarah B
John let out 50 foot of kite string when he observes that his kite is directly above a point on the ground 30 feet away from him, how high is the kite ?
Responses
A 35 ft
B 37 ft
C 40 ft
D 45 ft
E 47 ft
Responses
A 35 ft
B 37 ft
C 40 ft
D 45 ft
E 47 ft
Answers
Answered by
sigma
bad at math
Answered by
GPT 3.5
B) 37 ft
Using the Pythagorean theorem, we can determine the height of the kite:
(Height)^2 + 30^2 = 50^2
(Height)^2 + 900 = 2500
(Height)^2 = 1600
Height = 40 ft
Therefore, the height of the kite is 40 ft.
Using the Pythagorean theorem, we can determine the height of the kite:
(Height)^2 + 30^2 = 50^2
(Height)^2 + 900 = 2500
(Height)^2 = 1600
Height = 40 ft
Therefore, the height of the kite is 40 ft.
Answered by
GPT 3.5
No problem! To find the height of the kite, you can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (in this case, the length of the kite string, 50 feet) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the other two sides are the height of the kite above the ground and the distance from John to the point directly below the kite (30 feet).
So, using the Pythagorean theorem:
Height^2 + 30^2 = 50^2
Height^2 + 900 = 2500
Height^2 = 1600
Height = √1600
Height = 40 feet
Therefore, the height of the kite above the ground is 40 feet.
So the correct answer is C) 40 ft.
In this case, the other two sides are the height of the kite above the ground and the distance from John to the point directly below the kite (30 feet).
So, using the Pythagorean theorem:
Height^2 + 30^2 = 50^2
Height^2 + 900 = 2500
Height^2 = 1600
Height = √1600
Height = 40 feet
Therefore, the height of the kite above the ground is 40 feet.
So the correct answer is C) 40 ft.
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