Find the value of x to the nearest degree.
A. 35
B. 28
C. 51
D. 55

Answer:
A
Step-by-step explanation:
First, we are already given the sides adjacent and opposite to ∠x. Therefore, we can use the tangent function. Recall that:
[tex]\tan(x)=opp/adj[/tex]
The opposite side is 20 while the adjacent side is 14.
Plug in the numbers. Use a calculator:
[tex]\tan(x)=20/14=10/7\\x=\tan^{-1}(10/7)\\x\approx55.0080\textdegree\approx55\textdegree[/tex]
Edits: Improved Answer. Removed Wrong Answer.
Answer:
55
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan x = 20/14
Taking the inverse tan of each side
tan ^-1 tan x = tan ^ -1 (20/14)
x =55.0079798
To the nearest degree
x = 55