An astronaut is working on a satellite 4200 miles above the ground. What is the measure of arc BD, the portion of earth that the astronaut can see? Round your answer to the nearest tenth. (earth's radius is approximately 4000 miles)

The distance from the shuttle to the horizon is 7158.2 miles

Step-by-step explanation:

the portion of earth that the astronaut can see is the distance from the shuttle to the horizon (d)

The earth radius is 4000 miles and the satellite is 4200 miles. This can be represented by a triangle with sides 4000 miles and d and a hypotenuse of (4000 + 4200 = 8200 miles). Using Pythagoras rule:

8200² = 4000² + d²

d² = 8200² - 4000²

d² = 51240000

d = 7158.2 miles

The distance from the shuttle to the horizon is 7158.2 miles

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step-by-step explanation:

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation: