Question

A tower and a pole stand vertically on the same level ground. It is observed
that the angles of depression of top and foot of the pole from the top of the
tower of height 60 m is 30° and 60° respectively. Find the height of the
pole
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Answer 1

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Answer 2

Step-by-step explanation:

ANSWERS

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mishkath567fathima

Height of pole is 20m

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amitnrw

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Given : A tower and a pole stand vertically on the same level ground. It is observed that the angles of depression of top and foot of the pole from the top of the tower of height 60 m is 30° and 60° respectively

To find : height of the pole,

Solution:

Angle of Elevation = Angle of Depression

Tan60° = AB/BD

=> √3 = 60/BD

=> BD = 60/√3

=> BD = 20√3

Tan30° = AE/EC

EC = BD = 20√3

=> 1/√3 = AE/20√3

=> AE = 20

AE = AB - CD

=> 20 = 60 - h

=> h = 40

Height of Pole is 40 m