Given:
A right angled triangle in the figure.
To find:
The value of x.
Solution:
We know that, in a right angled triangle,
[tex]\tan \theta =\dfrac{Opposite}{Adjacent}[/tex]
For the given triangle,
[tex]\tan (x^\circ) =\dfrac{8}{15}[/tex]
[tex]x^\circ =\tan^{-1} \dfrac{8}{15}[/tex]
[tex]x^\circ =28.072487^\circ[/tex]
[tex]x^\circ \approx 28.07^\circ[/tex]
Therefore, the value of angle x is 28.07°.
