Question

:. An observer 1.5 m tall is 20root3 m away from
a chimney. The angle of elevation from the
top of the chimney from his eyes is 30° and
from bottom is 45°. Find the height of the
chimney.
​

Answer 1

Height of the observer, DE=1.5 m

Height of the chimney, BC=AC+1.5 m

Distance of the observer from the foot of the chimney, BE=28.5 m

Angle of elevation from the eyes of the observer to the top of the chimney =45

∘

AD=BE=28.5 m

Therefore,

tan45

∘

=

AD

AC

28.5

AC

=1

AC=28.5 m

Therefore,

Height of the chimney, AB=28.5+1.5=30 m

Hence, the height of the chimney is 30 m.

Step-by-step explanation:

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