Some Applications of Trigonometry
The angle of elevation of the top of a tower from a point on the ground,which is 30 m away from the of the tower,is 30∘,find the height of the tower.
A man 1.8m tall stands at distance of 3.6m from a lamp post and casts a shadow of 5.4m on the ground. Find the height of the lamp post.
A ladder 'x' meters long is laid against a wall making an angle 'θ' with the ground. If we want to directly find the distance between the foot of the ladder and the foot of the wall, which trignometrical ratio should be considered?
A balloon moving in a straight line passes vertically above two points A and B on a horizontal plane 1000 ft. apart. When above A it has an altitude of 60o an seen from B and when above B it has an altitude of 45o as seen from A. Find the distance from A of the point at which it will touch the plane.
A pole is 20 feet high. A taut wire that is 46 feet extends from the top of the pole to the ground. What is the angle of depression, to the nearest degree, from the top of the pole to the bottom of the wire?
The length of a shadow of a pole is 3 times the length of the pole. The angle of elevation of the sun is
Find the angle of elevation in degrees of the sun when the shadow of a pole h metres high is 3h meters long.
A man observes that when he has walked c metres up an incline, the angular depression of an object in a horizontal plane through the foot of the slope is α, and that when he has walked a further distance of c metres the depression is β.then the inclination of the slope to the horizon is the angle whose cotangent is
(4cotα −cotβ ).