Some Applicatio...

A boy $$1.7$$ m tall, is $$25$$ m away from a tower and observes the angle of elevation of the top of the tower to be $${60}^{o}$$. Find the height of the tower.

A tree is broken by the wind. Its top struck the ground at an angle $${30}^{o}$$ at a distance of $$30m$$ from its foot. The whole height of the tree is:

The height of a tower is h and the angle of elevation of the top of the tower is $$\displaystyle \alpha $$ on moving a distance h/2 towards the tower, the angle of elevation becomes. $$\displaystyle \beta  $$. What is the value of$$\quad \cot { \alpha  } -\cot { \beta  } \quad $$

The ladder resting against a vertical wall is inclined at an angle of $${30}^{\circ}$$ to the ground. The foot of the ladder is $$7.5\text{ m}$$ from the wall. Find the length of the ladder.

What is the angle of elevation of a vertical flagstaff of height $$100\sqrt 3m$$ from a point $$100m$$ from its foot.

A ladder $$20m$$ long is placed against a vertical wall of height $$10$$ metres. Find the distance between the foot of the ladder and the wall and also the inclination of the ladder to the horizontal.

The angle of elevation of the top of a tower from a distance $$100m$$ from its foot is $${30}^{o}$$. The height of the tower is:

A tower is $$120\ m$$ high. Its shadow is $$x\ m$$ shorter when the sun's altitude is $$\displaystyle 60^{\circ}$$ than when it was $$45^{\circ}$$. Find $$x$$ correct to nearest metre

A 10 m long flagstaff is fixed on the top of a tower from a point on the ground the angles of elevation of the top and bottom of flagstaff are $$\displaystyle 45^{\circ}$$ and $$\displaystyle 30^{\circ}$$ respectively. Find the height of the tower.

The angle of depression of $$47$$ m high building from the top of a tower $$137$$ m high is $$\displaystyle 30^{\circ}$$. Calculate the distance between the building and the tower