Question

a vertical tower stands on a horizontal plane and is surmounted by a flagstaff of height of 30m.at a point on the plane,the angke of elevation of the bottom of a Flagstaff is 45° and that of top it is 60° .determine the height of the tower and the horizontal distance

Answer 1

Distance between point of observation and foot of tower = 20 m = BC

Angle of elevation of top of tower = 60∘=Θ

Height of tower H = AB

Now from fig ABC

ΔABC is a right angle triangle

1tanΘ=oppositeside(AB)Adjacentside(BC)

i.e tanC=ABBC

AB = 20 tan60∘

H = 20×3–√

= 203–√

∴heightofthetower=203–√m

Answer 2

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