Skip to content
Q) As observed from the top of a lighthouse, 100 m above sea level, the angle of depression of a ship, sailing directly towards it, changes from 30° to 45°. Determine the distance travelled by the ship during the period of observation. (Use √3 = 1.732) Ans: Let’s start with the diagram for this question: […]
trigonometry applications
Q) From the top of a 45 m high light house, the angles of depression of two ships, on the opposite side of it, are observed to be 30° and 60°. If the line joining the ships passes through the foot of the light house, find the distance between the ships. (Use √3 = 1.73)
From the top of a 45 m high light house, the angles of depression of two ships Read More »
Q) From the top of a 15 m high building, the angle of elevation of the top of a tower is found to be 30°. From the bottom of the same building, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower and the
Q)Â Radio towers are used for transmitting a range of communication services including radio and television. The tower will either act as an antenna itself or support one or more antennas on its structure. On a similar concept, a radio station tower was built in two stations A and B (B vertically below A). The tower
Radio towers are used for transmitting a range of communication services Read More »
Q) From the top of a building 60 m high, the angles of depression of the top and bottom of the vertical lamp post are observed to be 30° and 60° respectively. (i) Find the horizontal distance between the building and the lamp post. (ii) Find the distance between the tops of the building and
From the top of a building 60 m high, the angles of depression Read More »
Q)Â A pole 6m high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point P on the ground is 60 and the angle of depression of the point P from the top of the tower is 45. Find the height of the tower
Q) A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30∘, which is approaching to the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to
A straight highway leads to the foot of a tower. A man standing Read More »
Q) From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of 20m high building are 450Â and 600Â respectively. Find the height of the transmission tower. Ans: Step 1:Â Let’s start by drawing a diagram for this question: Here, we can see AB is
From a point on the ground, the angles of elevation of the bottom Read More »
Q) The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, then find the height of the building. Ans: Step 1: Diagram
The angle of elevation of the top of a building from the foot of the tower is 30° Read More »
Q) From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 3 m from the banks, then find the width of the river. Ans: Step 1: Diagram for this question: Step
From a point on a bridge across a river, the angles of depression of the banks Read More »