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

Question

asked Jul 19, 2023 189k views

1 Answer

Rpechayr · Answer 1 · 2023-07-24T17:06:03+0000

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