Question

an observer 1.5m tall is 20√3m away from chimney. the angle of elevation of the top of the chimney from his eyes is 30° find the height of the chimney.​

Answer 1

Answer:

From the figure:

Let AB be the position of the observer and CD be the height of the chimney h meters.

AC=BE=30 m

From ΔBED

tan60

o

=

BE

DE

⇒

3

=

BE

DE

⇒ h−1.5=30

3

⇒ h=53.4 (approx)

∴ Height of the chimney is 53.4 m

solution