An observer standing at distance of 72 m from a building measure the angle of elevation of the top and foot of a flagstaff on the building as 54 degree and 50 degree. find the height of the Flagstaff.
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Answer
From the ΔABC,
tanθ=
BC
AB
tan54
∘
=
72
AB
AB=1.376×72=99.07
From the ΔDBC,
tanα=
BC
DB
tan50
∘
=
72
DB
DB=1.192×72=85.82
Now, the length of the flagstaff = AB - DB
=99.07−85.82
=13.25
Therefore, the length of the flagstaff is 13.25m.
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