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,

$\cos x=\frac{8.6}{12}$

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