28.5k views
0 votes
What is the measure of the angle that the slide makes with the ground, x, to the nearest degree? 28° 36° 54° 62°

What is the measure of the angle that the slide makes with the ground, x, to the nearest-example-1

2 Answers

4 votes

Answer:

B. 36 degrees

Explanation:

I just did the assignment

User Peter Pohlmann
by
7.9k points
3 votes

Answer: 36°

Explanation:

In a right triangle, the trigonometric functions can be expressed as:


sin\alpha =(OS)/(H) \\cos\alpha =(AS)/(H)

where
\alpha 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
sin(x):


sin(x)=(8.5)/(14.5)\\ x=arcsin((8.5)/(14.5) )\\x=35.88

Rounded to the nearest degree:

x = 36°

So, the angle that the slide makes with the ground is approximately 36°.

User Asalle
by
8.3k points