Given:
A figure of a right triangle with legs x and 6.
The measure of angle opposite to the side x is 37 degrees.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan 37^\circ =\dfrac{x}{6}[/tex]
[tex]6\times \tan 37^\circ =x[/tex]
[tex]6\times (0.753554) =x[/tex]
[tex]4.521324 =x[/tex]
Round the value to the nearest tenth.
[tex]x=4.5[/tex]
Therefore, the value of x is 4.5 units.
