A boys sees the top of buildings construction at an angle of 30° from the ground when the building is completed extending 12m more height the boy sees its top at an angle of 60°from the ground a)draw an approximate figure on the basis of given data b) find thre height of the building c) what is the distance the foot of the building of the boy
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Answer:
a)draw an approximate figure on the basis of given data
Step-by-step explanation:
. ref. image
b. Consider AC=x,AD=x+12
In triangle ABD,
AB
AD
=tan60
o
AB=
tan60
o
AD
⇒AB=
3
x+12
...(1)
In triangle ABC,
AB
AC
tan30
o
⇒AB=
3
1
=x
3
...(2)
Comparing equation (1) and (2)
ie.,
3
x+12
=x
3
⇒3x=x+12
⇒3x−x=12,⇒2x=12,x=6
Hence, the height of the building =6+12=18m.
c. Consider the equation (2)
ie. AB=
3
x
=
3
×6=1.73×6=10.38m
Distance between the building and the boy =10.38m
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