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Ivenika [448]
3 years ago
14

A person is watching a boat from the top of a lighthouse. The boat is approaching

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0

9514 1404 393

Answer:

  445.10 feet

Step-by-step explanation:

The relation between angle of depression and distance to the boat is ...

  Tan = Opposite/Adjacent

  tan(angle of depression) = (200 ft)/(distance to boat)

Then the distance to the boat is ...

  distance to boat = (200 ft)/tan(angle of depression)

__

We want the change in distance between the two angles, so ...

  change in distance = (200 ft)/tan(17°31') -(200 ft)/tan(46°41')

  = (200 ft)(cot(17°31') -cot(46°41'))

  change in distance ≈ 445.10 ft

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3y+9x>12
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4 years ago
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4. Find the LCM of the following numbers using prime factors:
Vadim26 [7]

Answer:

The least common multiple of 6, 15 and 40 is <u>120</u>.

The least common multiple of 32, 48 and 72 is <u>288</u><u>.</u>

The LCM of 20 and 24 is <u>120</u>.<em> </em>

The LCM of 30 and 90 is <u>90</u>.

The LCM of 150 is <u>900</u>.

Step-by-step explanation:

<u>Steps to find LCM</u>

  • Find the prime factorization of 150. 150 = 2 × 3 × 5 × 5.
  • Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.
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3 years ago
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Answer:

Choice D. V = 2184 in³.

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V = l × w × h

Plug in the given dimensions into the formula to solve for the volume:

V = 14 × 13 × 12

Multiply:

V = 2184 in³. The correct answer is D.

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4 years ago
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