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Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
using the law of sines, the approximate length of the tree is calculated as: C. 45 ft.
<h3>What is the Law of Sines?</h3>The law of sines is given as: sin A/a = sin B/b = sin C/c, which is used to solve a triangle.
Given the following:
- H = the length of the tree = ? (b)
- Let sin A = 30°
- a = 25
- Sin B = 65°
Apply the law of sines
sin 30/25 = sin 65/H
H = (sin 65 × 25)/sin 30
H ≈ 45 ft.
Learn more about the law of sines on:
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