Some Applicatio...

An observer $1.6\ m$ tall is $20\sqrt{3}m$ away from a tower. The angle of elevation from his eye to the top of the tower is $30^{\circ}$. The heights of the tower is:

A ladder '$x$' meters long is laid against a wall making an angle '$\theta$' with the ground. If we want to directly find the distance between the foot of the ladder and the foot of the wall, which trignometrical ratio should be considered?

If the height of a tower and the length of its shadow is equal, then the value of the angle of elevation of the sun is-

A $20 m$ pole casts a $5 m$ long shadow. If at the same time of the day, a building casts a shadow of $20 m$, how high is the building? 

If the length of the shadow of a pole is equal to the height of the pole, then the angle of elevation of the sun is

The heights of two poles are $80$ m and $65$ m. If the line joining their tops makes an angle of $45^{\circ}$ with the horizontal, then the distance between the poles is :   

If the ratio of the height of tower and the length of its shadow is $1: \sqrt{3}$, then the angle of elevation  of the sum has measure_________.

At an instant, the length of the shadow of a pole is $\sqrt{3}$ times the height of the pole. The angle of elevation of the sun is

Upper part of a vertical tree which is broken over by the winds just touches the ground and makes an angle of ${30}^{o}$ with the ground. If the length of the broken part is $20$ metres, then the remaining part of the tree is of length.

A man of height $6$ ft. observes the top of a tower and the foot of the tower at angles of $45^\circ$ and $30^\circ$ of elevation and depression respectively. Assuming the man to stand on the level ground, the height of the tower is :-