Question

Sitting on a park bench, you see a swing that is 100 feet away and a slide that is 80 feet away. The angle between them is 30 degrees. What is the approximate distance between the swing and the slide?

Answer 1

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 $(\frac{\sqrt{3}} 2)}$

c^2 = 16400 - 8000$\sqrt{3}$

c^2 = 16400 - 13856

c^2 = 2544

$c =\sqrt{2544}$

c= 50.44

c = 50 feet approximately.

Therefore, the approximate distance between the swing and the slide is 50 feet.

Answer 2

Answer:

ANSWER:50

Step-by-step explanation:

Have a  nice day:)