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notka56 [123]
3 years ago
11

What’s the common ratio of this sequence? 3, 21, 147

Mathematics
1 answer:
andrew11 [14]3 years ago
8 0

Answer:

r = 7

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = \frac{a_{2} }{a_{1} } = \frac{a_{3} }{a_{2} }, that is

r = \frac{21}{3} = \frac{147}{21} = 7

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The distance between the points A to B is 899.9 feet. After rounding off the  nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

The distance between CD is 139 feet.

As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

BD = CD/tan19°

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now for tan 6° = CD/AD (tangent is opposite over adjacent)

AD = CD/tan 6°

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hence the distance from point A to B is 900 feet.

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