Answer:
x = 65°
D is correct.
Step-by-step 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.
[tex]\tan x^\circ=\dfrac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\tan x^\circ=\dfrac{13}{6}[/tex]
[tex]x^\circ=\tan^{-1}(\frac{13}{6})[/tex]
[tex]x^\circ=65^\circ[/tex]
Hence, The value of x is 65°
