Some Applications of Trigonometry question bank (Maths)

$A$ tower stands vertically on the ground. From a point on the ground,which is $15\, m$ away from the foot of the tower,the angle of elevation of the top of the tower is found to be $60^{\circ}.$ Find the height of the tower. (in $m$)

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