Answer :
Given:
In a right angle triangle one leg measuring 8 and another leg measuring 15.
An angle across from the leg measuring 8 is marked x degrees.
To find:
The measure of angle x.
Solution:
In a right angle triangle,
[tex]\tan \theta = \dfrac{Perpendicular}{Base}[/tex]
It is given that an angle across from the leg measuring 8 is marked x degrees. So, the length of perpendicular for angle x is 8 and base is 15.
In the given triangle,
[tex]\tan x=\dfrac{8}{15}[/tex]
[tex]x=\tan^{-1}\dfrac{8}{15}[/tex]
[tex]x=28.072487^\circ[/tex]
[tex]x=28.07^\circ[/tex]
Therefore, the measure of angle x is about 28.07 degrees.