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This would be easier if I could draw a diagram.
Let the height of the temple be x.
Let the distance between the base of the temple and the place where he measures the 60° from be x
Then h/x=tan60° ==> h = x*sqrt(3) (I use * for multiply) Eqn 1
Also h/(x+240)=tan30° ==> h = (x+240)/sqrt(3) Eqn 2
So x*sqrt(3) = (x+240)/sqrt(3) (as both are equal to h form Eqn 1 and Eqn 2)
==> x*sqrt(3)*sqrt(3) = x + 240 (multiply each side by sqrt(3)
==>3x =x + 240
==> 2x = 240
==> x = 120
Now using Eqn 1, h = x*sqrt(3) = 120 * sqrt3 = 207.8 (to 1decimal place)
So the temple is 207.8m high.
What else can I help you with?
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