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A kite is flying 17 feet above ground on a string that is 25 feet long. What's the angle formed by the kite string and the ground? 47.16 34.22 42.840 40.22

Sagot :

MrRoyal

Answer:

[tex]\theta = 34.22^o[/tex]

Step-by-step explanation:

Given

[tex]Height = 17[/tex]

[tex]Length = 25[/tex]

Required

The angle formed with the ground

To do this, we make use of the following:

[tex]\tan(\theta) = \frac{Height}{Length}[/tex]

Where:

[tex]\theta \to[/tex] angle formed with the ground

So, we have:

[tex]\tan(\theta) = \frac{17}{25}[/tex]

[tex]\tan(\theta) = 0.68[/tex]

Take arctan of both sides

[tex]\theta = \tan^{-1}(0.68)[/tex]

[tex]\theta = 34.22^o[/tex]

Answer:

θ≈42.84

Step-by-step explanation:

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