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s2008m [1.1K]
4 years ago
9

20 POINTS! WRONG ANSWERS WILL BE REPORTED!

Mathematics
2 answers:
Deffense [45]4 years ago
5 0

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.

Nutka1998 [239]4 years ago
4 0
Triangle ABC 45-45-90
AB = 4 so AC = 2 <span>square root 2

triangle ACD 30-60-97
AC = </span>2 square root 2
AD = 2(AC)
AD = 4 square root 2

answer is

<span>C) 4 square root 2</span>
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