Question

Please show your work

Answer 1

Answer:

$x = 56$

Step-by-step explanation:

Use tangent function.

$\tan(x) = \frac{18}{12}$

Take the arctan

$\tan {}^{ - 1} ( \frac{18}{12} )$

which is about

0.98279372.

Convert from radians to degrees in you will get

56 degrees.

Answer 2

Answer:

Step-by-step explanation:

You can solve this by using trigonometry and the formula SOH CAH TOA. You're looking for an angle that is adjacent (next to) 12, and opposite 18. Therefore, you will needed to use TOA, which stands for tangent = opposite/adjacent.

With substitution, this gives you tangent  = 18/12. 18/12 is equal to 1.5. Because we are looking for an angle we need to use the tan^-1 (tan to the power of -1) button on our calculator. Tan(1.5)^-1 equals 56.31 to 2dp.

Hope this helps!