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kenny6666 [7]
3 years ago
7

A circle has a radius of 48 millimeters.

Mathematics
1 answer:
poizon [28]3 years ago
6 0

Answer:

36pi mm

Step-by-step explanation:

A circle has 2pi radians so 3pi/4 is 3/8 of it. The circumference is 96 mm so the length of the arc is 36pi mm.

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The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

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Convert to degrees

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The required distance is distance AB

This is calculated using the following sine formula:

\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }

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\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}

Make AB the subject

\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}

\mathbf{AB= 5783.96}

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

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