Some Applicatio...

The top of a hill when observed from the top and bottom of a building of height h is at angles of elevation p and q respectively. What is the height of the hill?

The angle of elevation of the tip of a flag staff from a point 10 m due South of its base is $$60^o$$ . What is the height of the flag staff correct to the nearest meter ?

The angles of elevation of the top of a tower from two places situated on the opposite sides of the base at distances $$21 \text{m}$$ and $$x \ \text{m} $$ from the base of the tower are $${45}^{o}$$ and $${60}^{o}$$ respectively. What is the value of $$x$$?

What is the angle subtended by 1 m pole at a distance 1 km on the ground in sexagesimal measure ?

From the top of a lighthouse $$70m$$ high with its base at sea level, the angle of depression of a boat is $${ 15 }^{ o }$$. The distance of the boat from the foot of the lighthouse is:

The angle of elevation of the top of a tower from a point $$20\ m$$ away from its base is $$45^{\circ}$$. What is the height of the tower?

A person standing on the bank of a river observes that the angle subtended by a tree on the opposite of bank is $${60}^{o}$$. When he retires $$40 m$$ from the bank, he finds the angle to be $${30}^{o}$$. What is the breadth of the river?

The top of a hill observed from the top and bottom of a building of height $$h$$ is at angles of elevation $$\alpha$$ and $$\beta$$ respectively. The height of the hill is 

The shadow of a pole is $$\sqrt {3}$$ times longer. The angle of elevation is equal to :

The upper $$\dfrac{3}{4}th$$ portion of a vertical pole subtends an angle $$\tan^{-1}\dfrac{3}{5}$$ at a point in the horizontal plane through its foot and at a distance $$40\ m$$ from the foot. The possible height of the vertical pole is