Some Applicatio...

A bridge above the river makes an angle of $${45}^{o}$$ with the bank of river. If length of bridge above the river is $$150\ m$$ then breadth of river will be

$$AB$$ is vertical pole with $$B$$ at the ground level and $$A$$ at the top. A man find that the angle of elevation of the point $$A$$ from a certain point $$C$$ on the ground is $$60^{o}$$. He moves away from the pole along the line $$BC$$ to a point $$D$$ such that $$CD=7\ m$$. From $$D$$ the angle of elevation of the point $$A$$ is $$45^{o}$$. Then the height of the pole is:

As you ride the Ferris wheel, your distance from the ground varies sinusoidally with time. An equation to model the motion is y=20cos($$\frac {\pi}{4} (t-3))+23$$. Predict your height above the ground at a time of 1 seconds.

A flagstaff stands on the middle of a square tower. A man on the ground, opposite to the middle of one face and distant from it $$100$$ m, just see the flag ; on his receding another $$100$$ m, the tangents of the elevation of the top of the tower and the top of the flagstaff are found to be $$\dfrac {1}{2}$$ and $$\dfrac {5}{9}$$. Find the height of the flagstaff, the ground being horizontal

If a ladder $$13 m $$ is placed against a wait such that its roots at a distance from the wall, then the height of the top of the ladder from the ground :

From the top of a building $$h$$ metres, the angle of depression of an object on the ground is $$\alpha$$, the distance of the object from the foot of the building is

$$A$$ person walking $$50$$ metres towards a chimney in a horizontal line. The angle of elevation of its top changes from $$30^{\circ}$$ to $$45^{\circ}$$. Height of the chimney (in metres) is

The angle of elevation of an object from a point $$P$$ on the level ground is $$\alpha$$. Moving $$d$$ meters on the ground towards the object, the angle of elevation is found to be $$\beta$$, then the height (in meters) of the object is

The flag staff of height $$10$$ metres is placed on the top of a tower of height $$30$$ metres. At the top of a tower of height $$40$$ metres, the flag staff and the tower subtend equal angles then the distance between the two towers (in metres) is

A man observes the angle of elevation of a balloon to be $$30^{0}$$ at a point $$A$$. He then walks towards the balloon and at a certain place $$B$$, he finds the angle of elevation to be $$60^{0}$$. He further walks in the direction of the balloon and finds it to be directly over him at a height of $$\dfrac12\ km$$, then the distance$$AB $$ is: