## Two sides of a triangle have lengths 12 m and 14 m. The angle between them is increasing at a rate of 2°/min. How fast is the length of the

Question

Two sides of a triangle have lengths 12 m and 14 m. The angle between them is increasing at a rate of 2°/min. How fast is the length of the third side increasing when the angle between the sides of fixed length is 60°? (Round your answer to three decimal places.) webassig n

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2021-10-13T22:20:52+00:00
2021-10-13T22:20:52+00:00 1 Answer
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## Answers ( )

Answer:

1.692 m/min

Step-by-step explanation:

Let be the angle between the two sides and x be the length of the third side. By cosine rule,

We differentiate x with respect to by applying chain rule.

Rate of change of is 2

Rate of change of x is

At 60°,