Answer:14
Step-by-step explanation:
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)
Answer:
300
Step-by-step explanation:
Answer:
x
2
+
6
x
+
8
=
3
Step-by-step explanation:
To write an equation in standard form, move each term to the left side of the equation and simplify.
a x 2 + b x + c = 0
Move 3 to the left side of the equation by subtracting it from both sides.
x 2 + 6 x + 8 − 3 = 0
Subtract 3 from 8
. x 2 + 6 x + 5 = 0
