Question

The radius of the sun is 700,000 km and the radius of Earth is 6400 km. If the Earth-moon system is 150. million km from the sun, then about how long is the umbra of Earth in kilometers?

a) 30,000,000 km
b) 93,000,000 km
c) 1,400,000 km
d) 670,000 km

Answer 1

The length of the umbra of Earth is approximately 149,293,600 km.

Step-by-step explanation:

The Earth-Moon system is approximately 150 million km away from the Sun. The radius of the Sun is 700,000 km and the radius of the Earth is 6,400 km. To find the length of the umbra of Earth, we can calculate the difference between the distance from the Sun to Earth and the sum of the radii of the Sun and Earth.

Umbra length = (Distance from Sun to Earth) - (Sun's radius + Earth's radius)

Umbra length = 150,000,000 - (700,000 + 6,400) = 149,293,600 km

Therefore, the approximate length of the umbra of Earth is 149,293,600 km.