The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. Find the height of the tower.Plssss tell me faster
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We have to find the height of the tower
Let us consider the height of the tower as AB, the distance between the foot of the tower to the point on the ground as BC.
In ΔABC, trigonometric ratio involving AB, BC and ∠C is tan θ.
tan C = AB/BC
tan 30° = AB/30
1/√3 = AB/30
AB = 30/√3
= (30 × √3) / (√3 × √3)
= (30√3)/3
= 10√3
Height of tower AB = 10√3 m.
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