Some Applicatio...

If ratio of length of a vertical rod and length of its shadow is $$1 : \sqrt{3}$$, then angle of elevation of sun is :

A kite is flying at a height of $$30 m$$ from the ground. The length of string from the kite to the ground is $$60 m$$. Assuming that there is no slack in the string, the angle of elevation of the kite at the
ground is :

If the height of a pole is $$6 m$$ and the length of its shadow is $$2\sqrt{3} m$$, then the angle of elevation of sun is equal to

A man on the top of the light house observes a boat comming towards it. lf it takes $$10$$ minutes forthe angle of depresion to change from $$30^{0}$$ to $$45^{0}$$, the time in minutes taken by the boat to reach the shore is

A flag staff stand in the centre of a rectangular field whose diagonal is $$1200$$ $$\text{m}$$, and subtends angles $$15^{\circ}$$ and $$45^{\circ}$$ at the mid points of the sides of the field. The height of the flag staff is

The angle of elevation of the top of a vertical pole when observed from each vertex of a regular hexagon is $$\displaystyle \frac{\pi}{3}$$ if the area of the circle circum scribing the hexagon be $$A\ m$$, then the height of the tower is

A tower subtends an angle $$\alpha$$ at a point on the same level as the root of the tower and at a second point, $$b$$ meters above the first, the angle of depression of the foot of the tower is $$\beta$$. The height of the tower is

A flag is mounted on the semi-circular dome of radius $$r$$. The elevation of the top of the flag at some point on the ground is $$30^{0}$$. Moving $$d$$ distance towards the dome, when the flag is just visible the angle of elevation is $$45^{0}$$, then the relation between $$r$$ and $$d$$ is

The angle of elevation of the summit of a mountain at a point $$45^{0}$$. After walking $$200$$ mt from $$A$$ towards the mountain along a road inclined at $$15^{0}$$, it is observed that the angle of elevation of the summit is $$60^{0}$$. The height of the mountain is

The angular depression of the top and the foot of a tower as seen from the top of a second tower which is $$150m$$ high and standing on the same level as the first are $$\alpha$$ and $$\beta$$ respectively. If $$\tan\alpha=\dfrac{4}{3}$$ and $$\tan\beta=\dfrac{5}{2}$$, the distance between their tops is: