Answer:
(C)
Step-by-step explanation:
It is given that The steepest side of the model, AB, measures 4 inches, thus
From ΔABC, using the trigonometry, we have
[tex]\frac{AC}{AB}=sin45^{\circ}[/tex]
Substituting the given value, we have
⇒[tex]\frac{AC}{4}=sin45^{\circ}[/tex]
⇒[tex]AC=4{\times}\frac{1}{\sqrt{2}}[/tex]
⇒[tex]AC=2\sqrt{2}[/tex]
Now, from ΔACD, we have
[tex]\frac{AC}{AD}=sin30^{\circ}[/tex]
⇒[tex]\frac{2\sqrt{2}}{AD}=\frac{1}{2}[/tex]
⇒[tex]AD=4\sqrt{2}[/tex]
Therefore, the length of AD will be [tex]4\sqrt{2}[/tex]
thus, option C is correct.
