Question

20 POINTS! WRONG ANSWERS WILL BE REPORTED!

Answer 1

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

$\frac{AC}{AB}=sin45^{\circ}$

Substituting the given value, we have

⇒$\frac{AC}{4}=sin45^{\circ}$

⇒$AC=4{\times}\frac{1}{\sqrt{2}}$

⇒$AC=2\sqrt{2}$

Now, from ΔACD, we have

$\frac{AC}{AD}=sin30^{\circ}$

⇒$\frac{2\sqrt{2}}{AD}=\frac{1}{2}$

⇒$AD=4\sqrt{2}$

Therefore, the length of AD will be $4\sqrt{2}$

thus, option C is correct.

Answer 2

Triangle ABC 45-45-90
AB = 4 so AC = 2 square root 2

triangle ACD 30-60-97
AC = 2 square root 2
AD = 2(AC)
AD = 4 square root 2

answer is

C) 4 square root 2