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2 years ago

Bo is flying a kite, holding his hands a distance of 3.5 feet above the ground and

Mathematics

1 answer:

morpeh [17]2 years ago

8 0

The height of the kite will be 53.32 feet above the ground.

<h3>What is trigonometry?</h3>

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

The boy is flying a kite, holding his hands a distance of 3.5 feet above the ground and
letting all the kite's strings play out. He measures the angle of elevation from his hand to the kite to be 29°. If the string from the kite to his hand is 110 feet long, what is the total vertical height?

The height of the kite above the ground will be calculated as:-

$Sin\theta = \dfrac{perpendicular}{Hypotenuse}$

$Sin(29)=\dfrac{H}{110}$

H = Sin(29) x 110

H = 53.32 feet

The hand of the boy is 3.5 above the ground so the total height H(t) of the kite above the ground will be:-

H(t) = 53.232 + 3.5

H(t) = 56.28 feet.

Therefore the height of the kite will be 53.32 feet above the ground.

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