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>
Answer:
A=35, B=55, and C=25
Step-by-step explanation:
Angle A and the angle next to it are linear pairs, so you can subtract 145 from 180.
if you already know Angle A, and that the other angle is 90 degress, you can add 90+35 and subtract it from 180 to get Angle B
Angle C is paired with the angle across from it (I forgot what the term is called) so it is 25 degrees.
<h2>
Answer:0.2352
</h2>
Step-by-step explanation:
Let the mass of the person be .
Let the spring constant be 
.
Let the displacement in spring be 
Let the acceleration due to gravity be 
As it is given that the person just stands,the forces are balanced.
So,
Given,
P = 2l + 2w
l = 2w
48 = 2(2w) + 2w
48 = 4w + 2w
48 = 6w
8 = w
l = 2w
l = 2(8)
l = 16
48 = 2(16) + 2(8)
48 = 32 + 16
48 = 48
Answer:
length = 16
width = 8
