Q11 of 22 Page 9

The angle of elevation of the top of a tower at a distance of 120 m form a point a on the ground is 45°. If the angle of elevation of the top of a flagstaff fixed at the top of the tower, at A is 60°, then find the height of the flagstaff. [Use √3 = 1.73](CBSE 2014)


Height of the flagstaff = CD


According to the figure,


tan 45° =


1 =


CB = 120 m


tan 60° =



BD = 120 × 1.73 = 207.6 m


Height of the flagstaff = CD = 207.6 – 120 = 87.6 m

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