Sitting on a park bench you see a swing that is 100 feet away and a slide that is 60 feet away. the angle between them is 30 degrees . what is the approximate distance between the swing and the slide

The approximate distance between the swing and the slide is 56.21 feet.

Step-by-step explanation:

Since we have given that

Distance between bench and swing = 100 feet

Distance between bench and slide = 60 feet

Angle between them is given by

So, we will use "Cosine law" to get the distance between the swing and the slide i.e.,

Hence, the approximate distance between the swing and the slide is 56.21 feet.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.