Question

A circus is climbing a $20m$ long rope, which is tightly stretched and tied from the top of vertical pole to the ground. Find the height of the pole if the angle made by the rope with the ground level is ${30}^o$.

• A. $24m$
• B. $18m$
• C. $28m$
• D. $10m$

Answer 1

Answer: (D)

$10m$

Height of the pole will be
$\left(hypotenuse\right)\left(\sin \theta \right)$
$=20m\left(\sin {30}^0\right)$
$=\frac{20}{2}m$
$=10m$