Question

What is the value of x to the nearest degree?

Answer 1

Tan(x) = Opp./Adj = 13/6 = 2.167
x = 65°

Answer:
D. 65°

Answer 2

x = 65°

D is correct.

Explanation:

Given: A right angle triangle whose legs are 13 and 6.

We need to measure x°.

The adjacent side of angle x is 6 and opposite side is 13.

Using trigonometry Identity.

`\tan x^\circ=\frac{\text{Opposite}}{\text{Adjacent}}`

`\tan x^\circ=(13)/(6)`

`x^\circ=\tan^(-1)((13)/(6))`

`x^\circ=65^\circ`

Hence, The value of x is 65°