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Pani-rosa [81]
3 years ago
9

Could someone help me with this trigonometry question.

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

About 75 degrees

Step-by-step explanation:

Let's call the point between C and B D. Using the Pythagorean Theorem, you know that CD is \sqrt{112}cm, meaning that BC has length 8+\sqrt{112}cm. Additionally, we know that AB has length \sqrt{208}. Using the law of cosines:

(8+\sqrt{112})^2=16^2+208-2(16)(\sqrt{208})\cdot \cos(A) \\\\345.328=256+208-461.511\cos(A) \\\\-461.511\cos(A)=-118.672 \\\\A=\cos^{-1}(0.2571)\approx 75^{\circ}

Hope this helps!

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