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The angle of elevation of the top of a tower of height h meter at point Q is θ. If the distance between point Q and base of the tower is equal to the height of the tower, find the value of θ?

The angle of elevation of the top of a tower of height h meter at point Q is θ. If the distance between point Q and base of the tower is equal to the height of the tower, find the value of θ?
QuestionThe angle of elevation of the top of a tower of height h meter at point Q is θ. If the distance between point Q and base of the tower is equal to the height of the tower, find the value of θ?
Typemultiple_choice
Option60°incorrect
Option30°incorrect
Option45°correct
Optionany acute angleincorrect
Solution

Let the height of tower PR be h.

PQ = h as point Q is at a distance of h meter from the base of tower.

tan θ=1 tanθ= 45° ( Option C)

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