Question

20 m high flagpole is fixed on a 80 m high pillar. 50 m away from the base of the pillar, the flag pole along with the pillar make an angle α, then the value of tan a is 

(a) \(\frac{2}{11}\) 

(b) 2 

(c) 2\(\frac{1}{2}\) 

(d) 2\(\frac{1}{4}\)

Answer 1

(b) 2

In the given diagram, 

AC is the flag pole of height 20 m 

CB is the pillar of height 80 m 

∠ADB = α, DB = 50 

∴ tan α = \(\frac{AB}{DB}\) = \(\frac{100}{50}\) = 2.