Answer :

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.

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