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babymother [125]
3 years ago
11

What is the distance between (8, -3) and (4, -7)?

Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>√</em><em>3</em><em>2</em><em> </em><em>units</em><em>.</em>

<em>pl</em><em>ease</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>for</em><em> </em><em>full</em><em> </em><em>solution</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em>

<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

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PYTHAGORAS THEROM AND TRIGONOMETRY RATIO​
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Answer:

1) ΔACD is a right triangle at C

=> sin 32° = AC/15

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2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:

AB² = AC² + BC²

⇔ AB² = 7.9² + 9.7² = 156.5

⇒ AB = 12.5 (cm)

3)  ΔABC is a right triangle at C

=> sin ∠BAC = BC/AB

⇔ sin ∠BAC = 9.7/12.5 = 0.776

⇒ ∠BAC ≈ 50.9°

4) ΔACD is a right triangle at C

=> cos 32° = CD/15

⇔ CD = cos32°.15

⇒ CD ≈ 12.72 (cm)

Step-by-step explanation:

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