Given:
In the given triangle,
With respect to y, Perpendicular = 10 cm and Base = 8 cm
To find the value of y.
Formula
By Trigonometric Ratio we get,
[tex]tan\theta = \frac{Perpendicular}{Base}[/tex]
Now,
Putting the values of perpendicular and base we get,
[tex]tan\theta = \frac{10}{8}[/tex]
or, [tex]\theta = tan^{-1} (\frac{10}{8})[/tex]
or, [tex]\theta = 51.34 ^\circ[/tex]
Rounding off to the nearest tenth, we have;
[tex]\theta = 51.3 ^\circ[/tex]
Hence,
The value of y is 51.3°.
