Which of the following is the best estimate of the measure of the angle the skateboard makes with the ground ?

Which Of The Following Is The Best Estimate Of The Measure Of The Angle The Skateboard Makes With The

Answers

Answer 1

Answer:

Correct choice: C. 74.5

Step-by-step explanation:

Trigonometric Ratios

In every right triangle (those who have an internal angle of 90°), the six trigonometric ratios are valid. They relate the other internal angles with the lengths of the triangle.

The skateboard, the wall, and the ground form a right triangle. We need to find the measure of the angle formed by the skateboard with the ground. Let's call it β. In a right triangle, the cosine of an angle is defined as

[tex]\displaystyle \cos\beta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

The adjacent leg of β is the side with length 8 in, and the hypotenuse is the length of the skateboard, 30 in, thus:

[tex]\displaystyle \cos\beta=\frac{8}{30}}=0.267[/tex]

Using a digital calculator we find:

[tex]\beta=\cos^{-1}(0.267)[/tex]

[tex]\beta=74.5^\circ[/tex]

Correct choice: C. 74.5


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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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