From the astronaut to the horizon is a tangent line to the curvature of the earth. And from that point on the horizon to the center of the earth is at a right angle to the tangent and is equal to the radius of the earth...so we can say
cosα=r/(r+h) where r is the radius of the earth and h is the height above the surface of the earth...
α=arccos(r/(r+h))
now tanα=d/r where d is the distance from the astronaut to the point on the horizon so:
tan(arccos(r/(r+h))=d/r
d=rtan(arccos(r/(r+h))) and using r≈4000 and h=50 we get:
d=4000tan(arccos(4000/(4050)))
d≈634.42mi
d≈634 mi (to nearest mile)
Your answer is c hope i helped
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Answer:
b. -x + y = 0
Step-by-step explanation:
<u />
<u>Direct variation</u>:
Direct variation means "y varies directly as x”:

where k is the (non-zero) constant of variation.
To determine which of the given equations represents a direct variation, isolate y for each and compare with the <u>direct variation equation</u>.
<u>Equation a</u>

This is not a direct variation equation as there is an addition of -2.
<u>Equation b</u>


This is a direct variation equation where the constant of variation is 1.
<u>Equation c</u>


This is not a direct variation equation as y is <u>inversely proportional</u> to x.
<u>Equation d</u>

This equation does not include the variable x, and so is therefore not a direct variation equation.
Answer:
The y value is on agraph the up and down line
Step-by-step explanation: