The answer is 7 i’m pretty sure
We are given : Distance of the swing = 100 feet.
Distance of slide = 80 feet.
Angle between swing and slide = 30 degrees.
We need to find the distance between the swing and the slide.
Distance of swing, distance of slide and distance between the swing and the slide form a triangle.
We can apply cosine law to find the distance between the swing and the slide.
c^2 = a^2 +b^2 - 2ab cos C
c^2 = 100^2 +80^2 - 2(100)(80) cos 30°
c^2 = 10000 + 6400 -2* 8000 ![(\frac{\sqrt{3}} 2)}](https://tex.z-dn.net/?f=%28%5Cfrac%7B%5Csqrt%7B3%7D%7D%202%29%7D)
c^2 = 16400 - 8000![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
c^2 = 16400 - 13856
c^2 = 2544
![c =\sqrt{2544}](https://tex.z-dn.net/?f=c%20%3D%5Csqrt%7B2544%7D)
c= 50.44
c = 50 feet approximately.
<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>
∠1 and ∠2 are supplementary angles. So ∠1 is 45 degrees. ∠7 is also 45 degrees because ∠1 and ∠7 are congruent
This refers to the actual value. Therefore you can plug it into the calculator:
Sin of 30= 1/2
Cos30=√3/2
Answer:
center: (0,0)
radius: 4 units
Step-by-step explanation:
the circle goes through points (0,4), (0,-4), (4,0), and -4,0).
if you notice, all four points are 4 away from the origin, (0,0). this means that there center is (0,0).
if you start at one of the points and go to the origin, it will be 4 units. that will be your radius