<h2><u>Question :-</u></h2>
Find AD.
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<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>
<h3><u>Calculation :-</u></h3>
Here, Sin θ is 30°
Sin =
Here, θ is 30°
<em><u>Substituting the values, We get, </u></em>
∴ Sin ( 30 ) =
<em><u>Substituting the value of BC as 12, We get, </u></em>
⇒ Sin ( 30 ) =
<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>