# math

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john is standing 100 metres away from a building.the angle of elevationto the top of the building is8 degrees .He now walks straight away from the building.When he stopes,the angle of elevation is only 1 degree and 48 seconds.How far away is now from the base of the building.

• math -

Note that at 100m distance, the height of the building, h, is given by

h/100 = tan(8 deg) = 0.1405
h = 14.05 m

Now, farther away, at distance d,
h/d = tan(1.8 deg)
d = 14.05/0.0314 = 447.5m

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