From the top of a building 20m, high the angle of elevation of the top of vertical pole is 30° and the angle of depression of foot of the same pole is 60°. Find the height of the pole
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Given; From the top of a building 20m, high the angle of elevation of the top of the vertical pole is 30° and the angle of depression of the foot of the same pole is 60°.
To Find; Height of pole
Solution; Let the remaining portion of the vertical portion is x. Then the total height of the pole will be 20+x
In the lower triangle tanx= 20/y (y is distance)
√3=20/y
y=20/√3
In upper triangle
tan30=x/y
1/√3=x√3/ 20
20/3=x
Hence the total height is 80/3m
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