Question

20 metre high flag pole is fixed on a 80 metre high pillar, 50 metre away from it, on a point on the base of pillar the flag pole makes an angle $\alpha$ then the value of $\tan \alpha$is

• A. $\frac { 2 } { 11 }$
• B. $\frac { 2 } { 21 }$
• C. $\frac { 21 } { 2 }$
• D. $\frac { 21 } { 4 }$

Answer 1

Answer: (B)

$\frac { 2 } { 21 }$

Answer 2

Let $\angle B A C = \beta$ $\therefore \tan \beta = \frac { 80 } { 50 }$

Now $\tan ( \alpha + \beta ) = \frac { 100 } { 50 }$

$\tan \alpha = \frac { 2 } { 21 }$