Question

Trignometric functions:solve for x, round to nearest 10th

Answer 1

We can relate the anglex, the leg 8.6 and the hypotenuse 12 by means of the cosine function, that is,

`\cos x=(8.6)/(12)`

which gives

`\cos x=0.71666`

By applying inverse cosine in both sides, we have

`x=\cos ^(-1)(0.7166)`

then, x is equal to

`x=44.22\text{ degre}es`

Then, by rounding to the nearest tenth, the answer is 44.2 degrees