Some Applications of Trigonometry
The height of tower is 100m find the distance from tower to a point where the angle of depression from top of tower is 30∘
An electric pole, 14 meter high casts a shadow of 10 meters. Find the height of a tree that casts a shadow of 15 meters under similar conditions.
As observed from the top of a light house 100m high from sea-level, the angles of depression of two ships are 300 and 450. If the ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships. (Use 3=1.732)
A vertical tower 50 ft. high stands on a sloping ground. The foot of the tower is at the same level as the middle point of a vertical flag pole. From the top of the tower the angle of depression of the top and the bottom of the pole are 15o and 45o respectively. Find the length of the pole.
A student sitting in a classroom sees a pictures on the black board at a height of 1.5m from the horizontal level of sight. The angle of elevation of the picture is 30o. As the picture is not clear to him, he moves straight towards the black board and sees the picture at an angle of elevation 45o. Find the distance moved by the student.
The top of a tower, the angle of an object are on the same side of the tower end to be x and b(x>b). If the distance objects is 'h' meters, show that the height of 'h' is given by:
A man of height 1.5 meter is moving away from lamppost of two rate 1.2 meter per sec. If two height of two lamppost is 4.5 meter. Find two rate which
i) his shadow is lengthening
ii) two tip of his shadow is moving
An aeroplane leaving from Bismarck travels on a bearing of 120o, as shown in the figure. If the plane is 295 miles directly east of Pierre, how far apart are Bismarck and Pierre? select your answer to the nearest mile.