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masha68 [24]
4 years ago
5

If m is 21 inches, k is 34 inches, and ∠J measures 60°, then find j using the Law of Cosines. Round your answer to the nearest t

enth.

Mathematics
1 answer:
MAVERICK [17]4 years ago
6 0

Answer:

j = 29.7 inches

Step-by-step explanation:

The following data were obtained from the question:

m = 21 inches

k = 34 inches

Angle L = 60°

j =?

Using Cosine rule, the value of j can be obtained as follow:

j² = m² + k² – 2mk Cos J

j² = 21² + 34² – 2 × 21 × 34 × Cos 60°

j² = 441 + 1156 – 1428 × 0.5

j² = 1597 – 714

j² = 883

Take the square root of both side

j = √883

j = 29.7 inches

Therefore, the value of j is 29.7 inches.

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