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abruzzese [7]
3 years ago
5

In the diagram shown on circle A, segment CD is tangent to the circle at point D. If CD=23 and CA=28, then which one of the foll

owing is closest to m∠C?

Mathematics
2 answers:
borishaifa [10]3 years ago
7 0

Answer:

(4) 35°.

Step-by-step explanation:

The value of the angle is given by the following inverse trigonometric function:

\theta = \cos^{-1}\left(\frac{CD}{CA} \right)

\theta = \cos^{-1}\left(\frac{23}{28} \right)

\theta \approx 34.772^{\circ}

The right answer is (4) 35°.

boyakko [2]3 years ago
3 0

Answer:

m∠C = 35°

Step-by-step explanation:

Data

  • CD = 23
  • CA = 28

From the figure, it can be seen that a right triangle is formed where CA is the hypotenuse  and CD is one of the legs.

From definition:

cos(C) = adjacent/hypotenuse

cos(C) = CD/CA

cos(C) = 23/28

m∠C = arccos(23/28)

m∠C = 35°

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Answer:

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<h2>b=√112 = 4√7</h2>

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sinФ=b/d=4√7/16= √7/4  radian

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Length and width of a soccer field?
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Step-by-step explanation:

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Kate wants to buy some daisies for $6.99, some potting soil for $3.98, and a ceramic pot for $7.95. She has $20.00.Which number
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Answer:

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Step-by-step explanation:

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