Q) The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 600 and the angle of elevation of the top of the second tower from the foot of the first tower is 300. Find the distance between the two towers and […]
trigonometry applications
Q) From a point on the ground, the angle of elevation of the bottom and top of a transmission tower fixed at the top of 30m high building are 30° and 60° respectively. Find the height of the transmission tower. (Use √3 = 1.73) Ans: Let’s consider AD is the tower in the figure above and
Q) As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 60°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships. (Use √3 = 1.73) Ans: Let’s consider
Q) The angle of elevation of the top of a tower from a point on the ground which is 30 m away from the foot of the tower, is 30°. Find the height of the tower. Ans: Let the tower be AB and its height be h Now in Δ ABC, tan 300 =
Q) The length of the shadow of a tower on the plane ground is √3 times the height of the tower. Find the angle of elevation of the sun. Ans: Let the tower be AB and its shadow be AC and angle of elevation from point C be θ Given that AC = √3 x
Q) An aeroplane when flying at a height of 3000 m from the ground passes vertically above another aeroplane at an instant when the angles of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Find the vertical distance between the aeroplanes at that instant. Also, find
Q) A ladder set against a wall at an angle 45° to the ground. If the foot of the ladder is pulled away from the wall through a distance of 4 m, its top slides a distance of 3 m down the wall making an angle 30° with the ground. Find the final height of
Q) A spherical balloon of radius r subtends an angle of 60° at the eye of an observer. If the angle of elevation of its centre is 45° from the same point, then prove that height of the centre of the balloon is √2 times its radius. Ans: Let’s start from drawing the above image. Our
Q) The angle of elevation of the top of a tower 24 m high from the foot of another tower in the same plane is 60°. The angle of elevation of the top of second tower from the foot of the first tower is 30°. Find the distance between two towers and the height of