Answer:
8.0
Step-by-step explanation:
The triangle is a right triangle, so we are able to use trigonometric functions. Relative to the angle of 37°, we have the opposite side which is 6 and the adjacent side which is x. The trig function that uses the opposite and adjacent is tangent(SohCahToa). We can set up the following equation:
[tex]tan(37) = \frac{opposite}{adjacent}[/tex]
[tex]tan(37) = \frac{6}{x}[/tex]
tan(37) evaluates to about , so we can plug it in and solve for x:
[tex]0.7536 = \frac{6}{x} \\0.7536x = 6\\x = 7.962[/tex]
To the nearest tenth, x rounds to 8.0.
