HDS is a 30-60°-90° triangle and DH = 42 mm. Find SH.

Capone asked Mar 15, 2023

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Capone asked Mar 15, 2023

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24 votes

Answer:

48.5mm

Step-by-step explanation:

Let x represent the value of the length of side SH.

We can find x by taking the sine of angle 60 degrees as shown below;

$\begin{gathered} \sin 60=(42)/(x) \\ x\sin 60=42 \\ x=(42)/(\sin 60) \\ x=48.5\operatorname{mm} \end{gathered}$

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