Height and Distance Questions

PQR is a triangular park with PQ = PR = 200 m. A T.V. tower stands at the mid-point of QR. If the angles of elevation of the top of the tower at P,Q and R are respectively 45o, 30o and 30o, then the h...

A vertical lamppost of height 9 metres stands at the corner of a rectangular field. The angle of elevation of its top from the farthest corner is 30o, while from another corner it is 45o. The area of ...

At a distance 2h from the foot of a tower of height h, the tower and a pole at the top of the tower subtend equal angles. Height of the pole should be -

A flag-staff stands upon the top of a building. If at a distance of 40 meters from the base of the building, the angles of elevation of the topes of the flag-staff and the building are 60o and 30o res...

A tower subtends an angle a at a point A in the plane of its base and the angle of depression of the foot of the tower at a point l meters just above A is β. The height of the tower is -...

The angle of elevation of the top of a TV tower from three points A, B, C in a straight line (in the horizontal plane) through the foot of the tower are α, 2α, 3α respectively. If AB = ...

ABCD is a square plot. The angle of elevation of the top of a pole standing at D from A or C is 30o and that from B is θ, then tan θ is equal to -

If the angles of a triangle are in the ratio 1 : 2 : 3, then their corresponding sides are in the ratio -

The angle of elevation of the top of the tower observed from each of the three points A, B, C on the ground, forming a triangle is the same angle α. If R is the circum - radius of the triangle AB...

A house of height 100 meters subtends a right angle at the window of an opposite house. If the height of the window be 64 meter, then the distance between the two houses is -...

On the level ground the angle of elevation of the top of a tower is 30o. On moving 20 mt. nearer the tower, the angle of elevation is found to be 60o. The height of the tower is-...

An observer on the top of a tree, finds, the angle of depression of a car moving towards the tree to be 30o. After 3 minutes this angle becomes 60o. After how much more time, the car will reach the tr...

The angles of elevation of the top of a tower from two point A and B on the ground distant a and b from the tower are complimentary. If the line AB passes through the foot of the tower, the height of ...

The length of the shadow of a pole inclined at 10o to the vertical towards the sun is 2.05 meters, when the elevation of the sun is 38o. The length of the pole is -...

A flagstaff stands vertically on a pillar, the height of the flagstaff being double the height of the pillar. A man on the ground at a distance finds that both the pillar and the flagstaff subtend equ...

The upper th portion of a vertical pole subtends an angle tan-1at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is -...

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60o and when he retires 40 meters away from the tree the angle o...

AB is a vertical pole with B at the ground level and A at the top. A man finds that the angle of elevation of the point A from a certain point C on the ground is 60o. He moves away from the pole along...

A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (= a) subtends an angle of 60o at the foot of the tower, and the angle of elevation of ...

If the angles of elevation of the top of a tower from three collinear points A, B and C, on a line leading to the foot of the tower, are 30o, 45o and 60o respectively, then the ratio, AB : BC, is :...