Question

An observer 5m tall is 28m away from the chimney. The angle of elevation of the top of the chimney from her eyes is 60°. What is the height of the chimney ​

Answer 1

Answer:

Height of the chimney is 53.46 m

Height of the chimney is 53.46 mStep-by-step explanation:

Height of the chimney is 53.46 mStep-by-step explanation:Let us suppose, Height of Observer be CE and Chimney be AD.  (Refer Figure)

Height of the chimney is 53.46 mStep-by-step explanation:Let us suppose, Height of Observer be CE and Chimney be AD.  (Refer Figure)BD = CE = 1.5 m, BC + DE = 30 m and =ABC 60 °

60 °In ABC,  

60 °In ABC,  tan 60° = AB/BC

√3=AD-B/30

AD - 1.5 = 30√3

AD = 30√3+1.5

AD = 30×1.732+ 1.5

+ 1.5AD = 51.96 + 1.5

+ 1.5AD = 51.96 + 1.5AD = 53.46 m  

+ 1.5AD = 51.96 + 1.5AD = 53.46 m  So, the height of the chimney is 53.46 m (approx).

Step-by-step explanation:

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