An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is `45o`.What is the height of the chimney?

An observer 1.5 m tall is 28.5 m away from a chimney. The angle of ele

1.	An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is `45o`.What is the height of the chimney?
Answer» We can create a right angle triangle `ADE` with the given details. Please refer to video for the figure. Here, `CD = BE= 1.5m, BC = DE = 28.5m` Now, from figure, `(AE)/(DE) = tan45^@ =>AE=DE=28.5m` So, height of chimney `= AB = AE+BE = 28.5+1.5 = 30m`

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An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is `45o`.What is the height of the chimney?

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