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castortr0y [4]
3 years ago
7

Find ad please help aghhhh due today

Mathematics
2 answers:
Rudiy273 years ago
8 0
<h2><u>Question :-</u></h2>

Find AD.

\sf a. \:  2\sqrt{3}  \: m

\sf b. \: 3 \sqrt{3}  \: m

\sf c. \: 6 \: m

\sf d. \: 6 \sqrt{3}

____________________

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • ∠DCB = 30°
  • ∠BDC = 90°
  • ∠ABC = 90°
  • BC = 12 m

<h3><u>To Find :-</u></h3>

  • The Length of AD

<h3><u>Calculation :-</u></h3>

Here, Sin θ is 30°

Sin = \bf \frac{perpendicular}{hypotenuse}

Here, θ is 30°

<em><u>Substituting the values, We get, </u></em>

∴ Sin ( 30 ) = \sf \frac{AD}{BC}

<em><u>Substituting the value of BC as 12, We get, </u></em>

⇒ Sin ( 30 ) = \sf \frac{AD}{12}

<em><u>Transposing 12 to Left Hand Side, We get, </u></em>

⇒ Sin ( 30 ) × 12 = AD

<em><u>Calculating further, We get, </u></em>

⇒ AD = 6 m

∴ AD = 6 m

<h3>____________________</h3>

<h2><u>Final Answer :-</u></h2>

The Length of AD is 6 m

<h3>____________________</h3>
Dominik [7]3 years ago
6 0

Answer:

AD = 6m

Step-by-step explanation:

Sin(30) = AD / 12

Sin(30) * 12 = AD

6 = AD

Hope this helps!

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