Question

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

Answer 1

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:

$\tan(x)=opp/adj$

The opposite side is 20 while the adjacent side is 14.

Plug in the numbers. Use a calculator:

$\tan(x)=20/14=10/7\\x=\tan^{-1}(10/7)\\x\approx55.0080\textdegree\approx55\textdegree$

Edits: Improved Answer. Removed Wrong Answer.

Answer 2

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