Question

I’m really struggling! Please help me!!

Answer 1

8.0

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:

`tan(37) = (opposite)/(adjacent)`

`tan(37) = (6)/(x)`

tan(37) evaluates to about , so we can plug it in and solve for x:

`0.7536 = (6)/(x) \\0.7536x = 6\\x = 7.962`

To the nearest tenth, x rounds to 8.0.