Answer: 36°
Step-by-step explanation:
In a right triangle, the trigonometric functions can be expressed as:
[tex]sin\alpha =\frac{OS}{H} \\cos\alpha =\frac{AS}{H}[/tex]
where [tex]\alpha[/tex] is one of the angles, OS and AS are the opposite side and the adjacent side respectively, and H is the hypotenuse.
In this case, we have the data for the opposite side to the angle that we want to find, so we're going to use the [tex]sin(x)[/tex]:
[tex]sin(x)=\frac{8.5}{14.5}\\ x=arcsin(\frac{8.5}{14.5} )\\x=35.88[/tex]
Rounded to the nearest degree:
x = 36°
So, the angle that the slide makes with the ground is approximately 36°.
