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16 Maths Exercise Solutions

A circus artist is climbing a 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 (see figure).

A tree breaks due to storm and the broken part bends so

that the top of the tree touches the ground making an anglewith it.

The distance between the foot of the tree to the point where the top

, touches the ground isFind the height of the tree.

that the top of the tree touches the ground making an anglewith it.

The distance between the foot of the tree to the point where the top

, touches the ground isFind the height of the tree.

A contractor plans to install two slides for the children to play in a park, for the children below the age of years, she prefers to have a slide whose top is at a height of,and is inclined at an angle of to the ground, whereas for elder children, she wants to have a steep slide at a height of and inclined at an angle of to the ground. What should be the length of the slide in each case?

The angle of elevation of the top of a tower from a point

on the ground, which is away from the foot of the tower, is

Find the height of the tower.

on the ground, which is away from the foot of the tower, is

Find the height of the tower.

A kite is flying at a height of 60m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is. Find the length of the string, assuming that there is no slack in the string.

A tall boy is standing at some distance from a tail building The angle of elevation from his eyes to the top of the building increases fromtoas he walks towards the building Find the distance he walked towards the building

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are and respectively. Find the height of the tower.

A statue,tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue isand from the same point the angle of elevation of the top of the pedestal is. Find the height of the pedestal.

The angle of elevation of the top of a building from the

foot of the tower isand the angle of elevation of the top·of the tower from the foot of the building, isIf the tower is

50 m high, .find the height of the

building.

foot of the tower isand the angle of elevation of the top·of the tower from the foot of the building, isIf the tower is

50 m high, .find the height of the

building.

Two poles of equal heights are standing opposite each other on either side of the road, which is wide. From a point between them on the road, the angles of elevation of the top of the poles respectively areand. Find the height of the poles and the distances of the point from the poles.

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