How many centimeters away from the eye did you keep a 5-rupee coin to hide the moon?
Answer
533.7k+ views
Hint: The given question is like the statement of matters where we need to find the centimeters ranging to cover the moon from the eyesight of the particular person from the earth. And with the note on the question, we need to give a detailed explanation regarding the mathematical calculating region wise.
Complete step by step answer:
In order to determine the centimeters ranging to cover the moon from the eyesight of the particular person from the earth.
If the angle it subtends at your eye is less than about \[20\] degrees, there's an easy way to say the approximate distance of an object. The diameter is calculated by multiplying the distance by the angle in degrees divided by \[60\].
Alternatively, the distance is calculated by multiplying the diameter by \[60\] and then dividing by the angle in degrees. As a result, the Sun and Moon, which both subtend a half-degree angle, are about \[120\] times their diameter from the Earth. To fully cover either, the \[2.2\] cm object will need to be \[120 \times 2.1\] cm away. That's \[8.8\] inches or \[2.64\] meters.
Thus, the coin must be held at a distance of 25 centimeters from the eye to fully obscure the moon.
Note:
The moon, also known as the Earth's Moon, is an artificial body that orbits the planet and serves as its only natural satellite.
It is the Solar System's fifth-largest satellite and the largest among planetary satellites in terms of the size of the planet it orbits.
It is thought to have been formed when a massive rock collided with the earth shortly after the solar system started to evolve around \[4.5\] billion years ago. In \[1610\], the Moon was discovered. It is \[384,400\] kilometers away from the Earth.
Complete step by step answer:
In order to determine the centimeters ranging to cover the moon from the eyesight of the particular person from the earth.
If the angle it subtends at your eye is less than about \[20\] degrees, there's an easy way to say the approximate distance of an object. The diameter is calculated by multiplying the distance by the angle in degrees divided by \[60\].
Alternatively, the distance is calculated by multiplying the diameter by \[60\] and then dividing by the angle in degrees. As a result, the Sun and Moon, which both subtend a half-degree angle, are about \[120\] times their diameter from the Earth. To fully cover either, the \[2.2\] cm object will need to be \[120 \times 2.1\] cm away. That's \[8.8\] inches or \[2.64\] meters.
Thus, the coin must be held at a distance of 25 centimeters from the eye to fully obscure the moon.
Note:
The moon, also known as the Earth's Moon, is an artificial body that orbits the planet and serves as its only natural satellite.
It is the Solar System's fifth-largest satellite and the largest among planetary satellites in terms of the size of the planet it orbits.
It is thought to have been formed when a massive rock collided with the earth shortly after the solar system started to evolve around \[4.5\] billion years ago. In \[1610\], the Moon was discovered. It is \[384,400\] kilometers away from the Earth.
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