Answer:
Step-by-step explanation:
x=100 (vertically opposite angle)
Answer:
60.77054139≈x. I don't know what decimal place you need to round it to though
Step-by-step explanation:
We can apply the Law of Sines to this situation.
The Law of Sine states that sinA/a=sinB/b=sinC/c
Thus, we can get the equation
sin(56)/5.7=sin(x)/6
Multiplying both sides by 6, we get
6sin(56)/5.7=sin(x)
Simplifying the left side, we get
0.872671129...=sin(x)
Lastly, multiplying the inverse of sine to both sides, we get
sin^-1(0.872671129...)=sin^-1*sin(x)
60.77054139≈x
#17, x=24
#19, ×=31 are the answers
Answer:
40/140 ≈ 0,2857 corresponds 28,57%.
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
c^2 = 16400 - 8000
c^2 = 16400 - 13856
c^2 = 2544
c= 50.44
c = 50 feet approximately.
<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>