Some Applications of Trigonometry
If the ratio of height of a tower and the length of its shadow on the ground is 3:1, then the angle of elevation of the sun is
The foot of the ladder leaning against a wall of length 5 metre rest on a level ground 53 metre from the base of the wall. The angle of inclination of the ladder with the ground is:
At a distance 2h m from the foot of a tower of height h m, the top of the tower and a pole at the top of the tower subtend equal angles. Height of the pole should be
If the angle of elevation of a cloud from a point h meters above a lake is α and the angle of depression of its reflection in the lake be β, prove that the distance of the cloud from the point of observation is tanβ−tanα2h tanα.
The angle elevation of the top of a rock from the top and foot of a 60 m high tower are 45o and 60o respectively. Find the height of the rock. (3=1.732).
A boy, 1.4 metres tall standing at the edge of a river bank sees the top of a tree on the edge of the other bank at an elevation of 55o. Standing back by 3 metres, he sees it at an elevation of 45o.
(a) Draw a rough figure showing these facts.
(b) How wide is the river and how tall is the tree?
Two poles are 10 m and 20 m high. The line joining their tops makes an angle of 15o with the horizontal. The distance between the poles is approximately equal to
If the object to be viewed is below the level of the observer, then the angle by which the observer lowers his head down is called _____.