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...

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 -

A flag staff on the top of the tower 80 meter high, subtends an angle tan-1 at a point on the ground 100 meters from the foot of the tower. Find the height of the flag- staff....

A person walking along a straight road observes that a two points 1 km apart, the angles of elevation of a pole in front of him are 30o and 75o. The height of the pole is,...

An observer in a boat finds that the angle of elevation of a tower standing on the top of a cliff is 60o and that of the top of cliff is 30o. If the height of the tower be 60 meters, then the height o...

A tree is broken by wind, its upper part touches the ground at a point 10 meters from the foot of the tree and makes an angle of 45o with the ground. The entire length of the tree is -...

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 -...

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 = ...

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 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 -...

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 :...

From the top of a 64 metres high tower, a stone is thrown upwards vertically with the velocity of 48 m/s. The greatest height (in metres) attained by the stone, assuming the value of the gravitational...

Let 10 vertical poles standing at equal distances on a straight line, subtend the same angle of elevation at apoint O on this line and all the poles are on the same side of O. If the height of the lon...

The angle of elevation of the top of a hill from each of the vertices A, B, C of a horizontal triangle is a. The height of the hill is -

From the top of a cliff 25 meters high, the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower, then height of the tower is-...