Question 1132821: A tower with a height of 27 M stands at the top of the Cliff. From the top of the tower the angle of depression of a Guard house is 56 degree. From the foot of the tower, the angle of depression of the same guard house is 49 degree. Find,
i) The distance between the base of the Cliff and guardhouse
ii) height of the cliff (WTH DIAGRAM) :)
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website! DESCRIPTION OF DRAWING------
Cliff on the left, ground level, Guard house on ground level on the right.
Bottom of tower C; Top of tower, T; Guard House, G. Base of cliff to guard house, length x; base of cliff to base of tower above, length y.
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Base or bottom of cliff below the tower, point B.
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There is a triangle TCG.
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Length TC is 27 Meters.
Angle of depression at T given means angle CTG is 34 degrees.
Angle of depression given from means angle TCG is 139 degrees.
Angle of elevation from G to T is also 56 degrees.
Use Law Of Sines to find length CG.
There is also Right Triangle, CBG.
and
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