Question
If $24 \cot A=7$, find the value of $\sin A$.
✓
Answer
$24 \cot A=7$
$\Rightarrow \cot A=\frac{7}{24}$
$\cot A=\frac{\text { Base }}{\text { Perpendicular }}$
$\Rightarrow a=7$ and $b=24$
Using the Pythagoras theorem we get,
$c^2=a^2+b^2$
$\Rightarrow c^2=(7)^2+(24)^2$
$\Rightarrow c^2=49+576=625$
$\Rightarrow c=25$
We know that $\sin A=\frac{\text { Perpendicular }}{\text { hypotenuse }}$
$\Rightarrow \sin A=\frac{24}{25}$
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