Question

Sitting on a park bench, you see a swing that is 60 feet away and a slide that is 80 feet away. The angle between them is 30°. What is the approximate distance between the swing and the slide?

Answer 1

The answer is 41 feet

Answer 2

Distance between the slide and the swing is 41 feet.

Explanation:

From the figure attached, In triangle ABC,

BC = 80 ft, AC = 60 ft and ∠C = 30°

We have to find the distance between the slide and swing.

Now we will apply cosine rule in the triangle ABC.

x² = 60² + 80² - 2(60)(80)cos30°

= 3600 + 6400 - 9600(0.866)

= 10000 - 8313.6

= 1686.4

x = √1686.4 = 41 feet

Therefore, distance between slide and swing is 41 feet.