The length of the shadow of a pillar is increased by 60m when the angle of elevation of the sun becomes 30^@ from 45^@. Find the height of the pillar ?

The length of the shadow of a pillar is increased by 60m when the angle of elevation of the sun becomes 30^@ from 45^@. Find the height of the pillar ?

1 Answer
Jun 25, 2018

height=81.967 metre(approx.)

Explanation:

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we have tan 45= x/x
and tan 30=x/x+60
=> 1/sqrt3=x/x+60................tan30=1/sqrt3
=>x+60=sqrt3*x
x(sqrt3-1)=60; => x(0.732)=60 ;=> x~81.967 m
hence height =81.967 metre