Please help me with #2
1 answer:
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Answer:
Distance between the person and the plane is 12 miles
Step-by-step explanation:
From the figure attached,
An airplane is flying at an altitude AB = 6 miles.
An observer is standing at point C from where he observes the plane at an angle of elevation θ
Therefore, sinθ =
sinθ =
AC =
AC = 6cosecθ
If angle θ = 30°
Then AC = 6cosec30
AC = 6×2
AC = 12 miles
Therefore, distance between the person and the plane is 12 miles.
The formula we need is this one: 
. Filling in accordingly, we have x+4(x+4+1)=x+1(x+1+11). Simplifying that we get (x+4)(x+5)=(x+1)(x+12). We will FOIL both sides to get 
. Combining like terms gives us this simplification: 0=4x-8. If we factor out the common 4, we have 0 = 4(x-2). By the Zero Product Property, eitheer 4=0 or x-2=0. Well obviously, 4 does not equal zero, so x-2 = 0, and x = 2.