Find the value of sinY
1 answer:
Answer:
Step-by-step explanation:
Please see the attached picture.
Let's find the value of the opposite side, XZ.
Applying Pythagoras' Theorem,
(XZ)² +(XY)²= (ZY)²
(XZ)² +16²= 65²
(XZ)²= 4225 -256 <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>
(XZ)²= 3969 <em>(</em><em>simplify</em><em>)</em>
<em>Square</em><em> </em><em>root</em><em> </em><em>both</em><em> </em><em>sides</em><em>,</em>
XZ=
XZ= 63 <em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(simplify)</em>
sinY
= XZ/ ZY
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<u>Okay, now let's use this knowledge</u>
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Hopefully that helps!