Question

the ratio of the length of human body to the lenth of head is 8:1.what is the length of the head of a person who is 168cm tall​

Answer 1

The length of the head of a person is 21 cm.

• A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.

• Equal ratios are represented by equal quotients. A ratio can therefore be thought of as an ordered pair of integers, a fraction with the first number in the numerator and the second in the denominator, or as the value represented by this fraction.
• Ratios of counts that are expressed in terms of (non-zero) natural numbers are rational numbers and occasionally natural numbers as well. The ratio of two numbers is a dimensionless number when they are measured using the same unit, which happens frequently. A rate is the product of two quantities that are divided by their respective units of measurement.

According to the given information, it is given that, the ratio of the length of human body to the length of head is 8:1. Let the length of the head be x. Then, the length of the human body is 8x. Then,

8x = 168

Or, x = 21.

Hence, the length of the head of a person is 21 cm.

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