Question

the angle of elevation ofthe top of a vertical tower from a point on the ground is 60°.from another point 10m vertically above the first, its angle of elevation is 30°. find the height of the tower.​

Answer 1

Answer:

Height of the tower = 15m

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Step-by-step explanation:

Answer 2

Answer:

Let height of tower be 'h'

and distance b/w th point on ground and the tower be 'x'  

Step-by-step explanation:

Total height of tower is (h+10)m

=>angle of elevation from ground is 60°

∴Tan 60°=h+10/x

=√3=h+10/x

=x√3=h+10----------------------------------------------(1)

=>angle of elevation from a height of 10m from ground is 30°

∴Tan 30°=h/x

=1/√3=h/x

=x=h√3----------------------------------------------------(2)

substitute 2 in 1

i.e

=h√3(√3)=(h+10)m

=3h=(h+10)m

=2h=10m

h=5m

x=5√3m

HOPE ITS HELPFUL !!!

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