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Answer:
Height of plane = 25971.7 meters
Step-by-step explanation:
let H =height of plane
Let x = distance ray to the point under the plane
800 foot = 245meters
1 mile = 1609meters.
Tan 81 = -----------------------(1)
Tan 67 = -----------------------(2)
6.3134 = ------------------------(3)
2.3556 = -----------------------(4)
from (3) and (4)
H = 10158.26 + 6.3134x ---------------(a)
H = 245 + 2.2336x ---------------(b)
equating both (a) and (b) we have:
9913.26 = 3.9576x
x = 2504.74
Subst. x = 2504.74 into (a)
H = 25971.7meters
Y=kx+b
line is perpendicular y=1/3x+6⇒ k=-
=-3
so line y=-3x+a
this line that passes through (-9,12)⇔x=-9, y=12, so 12=-3(-9)+a
12=27+a
a=12-27
a=-15
y=-3x-15
P.s.picture<span> to test solutions <span>in the application</span></span>
line is perpendicular y=1/3x+6⇒ k=-
so line y=-3x+a
this line that passes through (-9,12)⇔x=-9, y=12, so 12=-3(-9)+a
12=27+a
a=12-27
a=-15
y=-3x-15
P.s.picture<span> to test solutions <span>in the application</span></span>