An important and exam oriented question from trigonometry
Topic- Height and distance
An observer 1.5 m tall is 30 m away from a chimney. The angle of elevation of the top of the chimney from his eye is 60•. Find the height of the chimney.
Book RS Aggarwal, Class 10, chapter 5C, question no 3
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 height ΔBED
⇒tan60o=DE/BE
⇒√3=DE/BE
⇒ h−1.5=30√3
⇒ h=53.4 (approx)
Height of the chimney is 53.4 m