Question

Find value of x.
Round answer to nearest tenth.

Answer 1

Inverse of Cosine(16/19)

Answer 2

The value of x° = 32.6

Explanation:

To find the value of x, we have to apply the trigonometric formula;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cos Ф = adjacent / hypotenuse

tan Ф = opposite / adjacent

From the diagram above; adjacent is given to be 16 and hypotenuse is given to be 19, since what we have is adjacent and hypotenuse, then the best formula to use is cos Ф

cos Ф = adjacent / hypotenuse

Ф=x° adjacent=16 and hypotenuse =19

cos x° = 16/19

cos x° =0.8421

To get the value of x°, we will take
`cos^(-1)` of both-side

`cos^(-1)` cos x° =
`cos^(-1)` (0.8421)

x° = 32.637

x° ≈ 32.6 to the nearest tenth

Therefore the value of x° = 32.6