Question

Find the value of x to the nearest degree.

A. 35
B. 28
C. 51
D. 55

Answer 1

A

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

55

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