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3 years ago

I’d like to know how this problem is solved?

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

8 0

A should be age
b should be height

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An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time

d1i1m1o1n [39]

Answer:

a) $s=\sqrt{1+d^2}$

b)d(t)=500t

c) $s(t) =\sqrt{1+250000t^2}$

Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

$Hypotenuse^2=Perpendicular^2+Base^2$

$s^2=1^2+d^2$

a) $s=\sqrt{1+d^2}$

(b) Express d as a function of the time t (in hours) that the plane has flown.

$distance = speed \times time$

d(t)=500t

$s(t) =\sqrt{1+d^2}$

using b

$s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}$

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