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USPshnik [31]
3 years ago
12

A man walks 5 feet, turns 20 degrees and then walks another 10 feet. How far is the man from where he started? Round your answer

to the nearest tenth of a foot.
Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer:

About 14.8 ft

Step-by-step explanation:

This is a triangle. A man walks one direction, turns, and walks another direction. The question asks for you to find the distance, which is the hypotenuse side. This makes our triangle (see attachment 1)

Since this is not a right triangle, we will use law of cosines.

We are given 2 sides and an angle. However, 20 degrees is the exterior angle. To find the interior angle (green theta), we have to do a calculation:

180-20=160 degrees. This is green theta.

Now, we have all we need to use law of cosines. (see attachment 2)

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See attachment for problem
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The liters in the tank when it is filled to a height of 3.70 is  5,580 liters

The liters that needs to be added to 100% capacity is 480 liters

<h3>What is the volume?</h3>

A right circular cone is a three dimensional object has a flat circular base that tapers to a vertex. The volume of a right circular cone is the amount of space in the right circular cone.

Volume of a cone = 1/3(πr²h)

Where:

  • π = pi = 3.14
  • r = radius
  • h = height

Volume of the right circular cone when its filled to a height of 3.70 = 1/3 x 3.14 x 3.70 x 1.20² = 5.58 m³

5.58 x 1000 = 5,580 liters

Volume of the right circular cone when it is full =  1/3 x 3.14 x 4 x 1.20² = 6.03  m³

6.03 x 1000 = 6030 liters

Liters that needs to be added to 100% capacity =  6030 liters - 5,580 liters  = 480 liters

To learn more about the volume of a cone, please check: brainly.com/question/13705125

#SPJ1

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