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Aleks [24]
3 years ago
7

The blue whale is the largest animal living on the earth. The average blue whale measures 100 feet long (30 meters) and weighs 3

00,000 pounds (136,000 kilograms). A whale’s head is 1⁄3 of the length of its body. A new baby whale is 1⁄4 the length of a grown whale. The average man is 1⁄17 the length of a blue whale, and 1⁄1,818 its weight. A human baby measures 1⁄4 of the length of an adult.
Calculate the following information:
How long is a whale’s head?
How long is a new baby whale?
How tall is the average man?
How much does the average man weigh?
How tall is the average human baby?
Mathematics
1 answer:
dangina [55]3 years ago
4 0
Whales head : 1/3(100) = 100/3 = 33.33 ft or 1/3(30) = 30/3 = 10 meters
new baby whale : 1/4(100) = 100/4 = 25 ft. or 1/4(30) = 30/4 = 7.5 meters
average man height : 1/17(100) = 100/17 = 5.88 ft or 1/17(30) = 30/17 = 1.76 m
average man weight : 1/1818(300000) = 300000/1818 = 165 lbs or 1/1818(136000) = 136000/1818 = 74.81 kilograms
human baby height : 1/4(5.88) = 5.88/4 = 1.47 ft or 1/4(1.76) = 0.44 meters

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<h3>Answer: Choice D)  31.2 miles</h3>

This value is approximate.

============================================================

Explanation:

Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.

Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.

Based on those two interior angles, angle C must be...

A+B+C = 180

107+42+C = 180

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C = 180-149

C = 31

----------------

To sum things up so far, we have these known properties of triangle ABC

  • angle A = 107 degrees
  • side c = side AB = 24 miles
  • angle B = 42 degrees
  • angle C = 31 degrees

Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).

b/sin(B) = c/sin(C)

b/sin(42) = 24/sin(31)

b = sin(42)*24/sin(31)

b = 31.1804803080182 which is approximate

b = 31.2 miles is the distance from the storm to station A

Make sure your calculator is in degree mode.

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Answer:

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