Question

A tower subtends an angle of ${30}^o$ at a point on the same level as the foot of the tower. At a second point h meter above the first, the depression of the foot of the tower is ${60}^o$. The horizontal distance of the tower from the point is

• A. $h\cot {60}^o$
• B. $\frac{1}{3}$ $h\cot {30}^o$
• C. $\frac{h}{3}$ $\cot {60}^o$
• D. $h\cot {30}^o$

Answer 1

Answer: (A), (B)

The correct options are
A $h\cot {60}^o$
B $\frac{1}{3}$ $h\cot {30}^o$

x = h cot ${60}^0$ = h tan ${30}^0$
= h .(1/$\sqrt{3})$ = $\left(1/3\right).h.$ $\sqrt{3}$ = $\frac{1}{3}$ $hcot30$