Some Applicatio...

The angle of depression of a car parked on the road from the top of a $$150 $$ m high tower is $$\displaystyle { 30 }^{ \circ  }$$. The distance of the car from the tower (in metres) is

The angle of depression of a car, standing on the ground, from the top of a $$75 \ m$$  high tower, is $$30^o$$. The distance of the car from the base of the tower (in m.) is:

The shadow of a person $$X$$, when the angle of elevation of the sun is $$\alpha$$, is equal in length to the shadow of another person $$Y$$, when the angle of elevation of the sun is $$\left (\dfrac {\alpha}{2}\right )$$. Which is the correct statement?

What is the angle of elevation of a light source when the length of the shadow of a flagpost is equal to its height?

The length of shadow of a tower on the plane ground is $$\sqrt3$$ times the height of the tower. The angle of elevation of sun is:

A $$20\ \text{m}$$ long ladder rests against a wall. If the foot of the ladder is $$10\ \text{m}$$ from the wall, what is the angle of elevation?

The angles of elevation of the top of a vertical tower from points at distance $$a$$ and $$b$$ from the base and in the same line with it are complementary. If $$a > b$$, find the height of the tower.

Two buildings are 140 m apart. The angle of elevation of the top of a building as seen from the top of the other is 30 degrees. If the 2nd building is 60 m tall, how tall is the 1st building?

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

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are $$30^{\circ}$$ and $$45^{\circ}$$ respectively. If the lighthouse is $$100\ m$$ high, the distance between the two ships is: