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Marizza181 [45]
3 years ago
5

from a boat on the lake the angle of elevation to the top of a cliff is 18°41’. if the base of the cliff is 991 feet from the bo

at how high is the cliff (to the nearest foot)
Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

The cliff is 335 feet tall.

Step-by-step explanation:

First you convert the angle to degrees and you get 18.683 degrees.

Then you set up the equation where x is the height of the cliff.

Tan(18.683) = (x/991)

Then you solve for x and you get 335 ft when your ound to the nearest whole number.

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Answer:

9.5

Explanation:

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3 0
3 years ago
3
Dafna11 [192]

The approximate length of rail that needs to be replaced is 7.1 ft

<h3>Length of arc</h3>

Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where

  • Ф = central angle of rail section = 27° and
  • D = diameter of circular pool = 30 ft

<h3>Approximate length of rail</h3>

So, substituting the values of the variables into the equation, we have

L = Ф/360° × πD

L = 27°/360° × π × 30 ft

L = 3/40 × π × 30 ft

L = 3/4 × π × 3 ft

L = 9/4 × π  ft

L = 2.25 × π  ft

L = 7.07 ft

L ≅ 7.1 ft

So, the approximate length of rail that needs to be replaced is 7.1 ft

Learn more about length of an arc here:

brainly.com/question/8402454

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2 years ago
Ben can type 25 words in half a minute. At this rate, how many words can he type in 5 minutes? A student found the unit rate and
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25 in 1/2minute
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Answer:

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Step-by-step explanation:

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The first term a1 is given to be -4. The formula for the next terms: an = an-1 + 7 means to add 7 to the previous term to get the next.

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