A flag post 10m long is fixed on top of a tower .from
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Let AB is the tower of height x m and BC is the flagstaff of height 10 m. Let D be the point from where the angles of elevation are 450 and
600 such that BDA = 450 and CDA = 600
In DAB, tan 450 = AB/AD
1 = x/AD AD = x
In DAC, tan 600 = AC/AD
3
= (10+x)/x
3
x = 10+x
(
3
-1)x = 10
x = 10/(
3
- 1) = 10/(
3
- 1) x (
3
+ 1)/(
3
+ 1)
x = 5(
3
+ 1)
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