A pole 5m high is fixed on the top of a tower.the angle of elevation of the top of the pole observed from a point A on the ground is 60 degree and the angle of depression of the point A from the top of the tower is 45 degree.Find the height of the tower.
Plz fast with all details and figure.

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Answers

  • Brainly User
2016-03-26T00:40:36+05:30
Let the triangle be PQR such that PR is the hypotenuse
A is the point on the tower join it to R
height of pole is 5m => AP=5m
let the height of tower i.e., AQ = x
Angle of elevation from ground to top of the poleis 60 degrees =>
Angle of Depression from the tower to the ground is 45 =>


tan 45 = x/AQ 

1 = x/AQ 

=> AQ= x 

Tan PRQ = PQ/ RQ 

Tan 60 = 5 + x/x

 root 3 = 5 + x/ x 

(root3 )x = 5 +x 

(root 3 )x - x =5 

x(root 3 - 1 ) =5 

x = 5/ (root 3 - 1) 
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