FAAST GUYZ!! MA ASSIGNMENT

IF A PERSON ONWALKING 20 M TOWARDS CHIMNEY IN A HORIZONTAL LINE THROUGH ITS BASE OBSERVES THAT ITS ANGLE OF ELEVATION CHANGES FRO 30 TO 456 THEN THE HEIGHT OF CHIMNEY???

Question

FAAST GUYZ!! MA ASSIGNMENT
IF A PERSON ONWALKING 20 M TOWARDS CHIMNEY IN A HORIZONTAL LINE
THROUGH ITS BASE OBSERVES THAT ITS ANGLE OF ELEVATION CHANGES FRO
30 TO 456 THEN THE HEIGHT OF CHIMNEY???

Koka Sri Lakshmi Divya Sai · Accepted Answer

$From the fig: \frac{h}{x} = \tan 45 = 1 \Rightarrow h = x A l s o, \frac{h}{20 + x} = \tan 30 = \frac{1}{\sqrt{3}} \Rightarrow \sqrt{3} h = 20 + x \Rightarrow \sqrt{3} h = 20 + h \Rightarrow \sqrt{3} h - h = 20 \Rightarrow h (\sqrt{3} - 1) = 20 \Rightarrow h = \frac{20}{\sqrt{3} - 1} k m Height of the chimney= \frac{20}{\sqrt{3} - 1} k m$

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FAAST GUYZ!! MA ASSIGNMENT IF A PERSON ONWALKING 20 M TOWARDS CHIMNEY IN A HORIZONTAL LINE THROUGH ITS BASE OBSERVES THAT ITS ANGLE OF ELEVATION CHANGES FRO 30 TO 456 THEN THE HEIGHT OF CHIMNEY???

FAAST GUYZ!! MA ASSIGNMENT

IF A PERSON ONWALKING 20 M TOWARDS CHIMNEY IN A HORIZONTAL LINE THROUGH ITS BASE OBSERVES THAT ITS ANGLE OF ELEVATION CHANGES FRO 30 TO 456 THEN THE HEIGHT OF CHIMNEY???