AB is a straight road leading …
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AB is a straight road leading to C, the foot of a tower, A being at a distance of 120m from C and B being 75m nearer. If the angle of elevation of the tower at B is the double of the angle of elevation of the tower at A, find the height of the tower.
Posted by Shruti Sharma 7 years, 3 months ago
- 2 answers
Shweta Gulati 7 years, 3 months ago
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Naveen Sharma 7 years, 3 months ago
Just consider the image for Reference.
Gievn : AB is straigt Road and C is the foot of tower. Let DC is tower of height h, and AC is 120cm and BC is 45 cm as it is 75cm nearer than A.
Solution : In Triangle BCD
=>
In Triangle, ACD
=>
From (1) and (2)
=>
=>
=>
Put value of tan x in (2)
we get h = 60
so height of tower is 60cm
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