earth is 149 600 000 km from the sun. this distance is equal to 1 A.U (astronomical unit). Mars is seen form earth to make an angle of 68degrees with the sun.
a) draw a diagram and label
b)how far are earth and mars
c) do you think the distance between earth and mars are the same? explain why or why not.
a) To draw the diagram, follow these steps:
1. Draw a circle in the center to represent the sun.
2. Label the circle as "Sun."
3. Outside the circle, draw another circle to represent the orbit of Earth.
4. Label this circle as "Earth."
5. Draw a line extending from the sun to the edge of the Earth's orbit.
6. Label this line as "1 A.U."
7. From the edge of the Earth's orbit, draw another circle representing the orbit of Mars.
8. Label this circle as "Mars."
9. Draw a line extending from the sun to the edge of the Mars' orbit.
10. Label this line as "X."
b) To find out how far Earth and Mars are from each other, we need to use some trigonometry. We already know that the distance between Earth and the Sun is 1 Astronomical Unit (1 A.U.), which is equal to 149,600,000 km.
From the diagram, we can see that the angle between Mars and the Sun, as seen from Earth, is 68 degrees. Let's call the distance between Earth and Mars as "Y."
Using trigonometry, we can say that:
tan(68 degrees) = Y/1 A.U.
tan(68 degrees) = Y/149,600,000 km
Now, we can solve for "Y" by multiplying both sides of the equation by 149,600,000 km:
Y = tan(68 degrees) * 149,600,000 km
Using a calculator, we can find the value of Y to be approximately 295,259,336 km.
Therefore, the distance between Earth and Mars is approximately 295,259,336 km.
c) The distance between Earth and Mars is not always the same. This is because both Earth and Mars have elliptical orbits around the Sun, meaning their distance from the Sun constantly changes throughout their orbits. As a result, their distance from each other also varies. At some points in their respective orbits, Earth and Mars can be much closer together, and at other points, they can be much farther apart.