Question

Could someone help me with this trigonometry question.

Answer 1

About 75 degrees

Explanation:

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

`(8+√(112))^2=16^2+208-2(16)(√(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!