Question

From a window of a certain height above the ground, the angle of elevation of the top of a tower is X and the angle of depression of the foot of the tower is Y. If the horizontal distance between the window and the tower is b m, find the height of the tower in terms of b, X and Y.

Answer 1

Answer:

We have. AB=DE=10m

So, in , △AED

DE/AE=tany=

4

1

AE=4DE=4×10=40m

In △AEC,

CE/AE=tanx=5/2

CE=40×5/2=100m

So,CD=DE+EC=10+100=110m

Therefore, the height of the tower CD is 110m.

Step-by-step explanation:

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