Question

I’m really struggling! Please help me!!

Answer 1

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:

$tan(37) = \frac{opposite}{adjacent}$

$tan(37) = \frac{6}{x}$

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

$0.7536 = \frac{6}{x} \\0.7536x = 6\\x = 7.962$

To the nearest tenth, x rounds to 8.0.