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°. W
hat is the approximate distance between the swing and the slide?
2 answers:
Answer:
Distance between the slide and the swing is 41 feet.
Step-by-step 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.
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