Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 46°, and the kite string forms a straight segment that is 80 feet long.

Explain how to find the distance between the ground and the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle. Round your answer to the nearest foot.

I am very confused on which trigonometric ratio to use. Please explain each step for brainiest.

Question

29-06-2022
Mathematics

contestada

Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 46°, and the kite string forms a straight segment that is 80 feet long.

Explain how to find the distance between the ground and the kite. Include a description of the triangle you drew to help you solve, including the variables and measurements you assigned to each side and angle. Round your answer to the nearest foot.

I am very confused on which trigonometric ratio to use. Please explain each step for brainiest.

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ap8997154 ap8997154 · Answer 1 · 2022-07-01T12:26:26+02:00

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The distance between the kite and the ground is 57.547 feet.

What is Sine (Sinθ)?

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. It is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

For the given situation, the diagram can be drawn as shown below. Therefore, the distance between the ground and the kite is AB,

Sin(46°) = AB/AC

AB = Sin(46°) × 80 feet

AB = 57.547 feets

Hence, the distance between the kite and the ground is 57.547 feet.

Learn more about Sine:

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