Heights and Distance Quiz 3

A ladder of 19m is leaning to a wall making an angle of 60° with the ground. The distance from the foot of the wall to the foot of the ladder is

A boy observes the top of an electronic pole at an angle of elevation of 60°, when the observation point is 8m away from the foot of the pole. Then the height of the pole is

Rajender observes a person standing on the ground from a helicopter at an angle of depression 45°. If the helicopter flies at a height of 50 m from ground, then the distance of the person from Rajender is

The angle of elevation of the top of the cliff from a point 300m from its foot is 60°. Then the height of the cliff is

The angle of elevation of the top of a tower from the top and foot of a pole of height 10m are 30° and 60°. Then the height of the tower is

A 1.5m tall boy casts 2m shadow. At the same instance, a lamppost casts a shadow of 10 m. Then the height of the lamppost is

The ratio of the length of a rod and its shadow is $1 : \sqrt3$ . Then the angle of elevation of the sun is ……………

A ladder ‘x’ meters long is laid against a wall making an angle ‘$\theta$ ‘ with the ground. If we want to directly find the distance between the foot of the ladder and the foot of the wall, which trigonometrical ratio should be considered ?

Two persons A and B observe the top of a pole at an angle of elevation $\alpha$ and $\beta$ respectively. If $\alpha$ > $\beta$, then ………

The angle of elevation of the top of a tower from a point at a distance 40 m from the foot of the tower is 45°. Then the height of the tower is