Some Applications of Trigonometry
The angle of elevation of a tower from a point A due south of it, is x, from a point B due east of A, is y. If AB=l, then the height h of the tower is given by
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The length of a string between a kite and a point on the roof of a building 10 m high is 180 m. If the string makes an angle θ with the level ground such that tanθ=4/3, how high is the kite from the ground?
The angle of elevation of the top of vertical tower standing on a horizontal plane is observed to be 45∘ from a point A on the plane. Let B be the point 30 m vertically above the point A. If the angle of elevation of the top of the tower from B be 30∘, then the distance (in m) of the foot of the tower from the point A is
On the same side of a tower two objects are located. Observed from the top of the tower their angles of depression are 450 and 600. If the height of the tower is 150 m the distance between the objects is
The angular depression of the top and the foot of a tower as seen from the top of a second tower which is 150m high and standing on the same level as the first are α and β respectively. If tanα=34 and tanβ=25, the distance between their tops is:
The angle of elevation of the top of a tower from a point on the ground 30∘ after walking 200 m towards the tower the angle of elevation becomes 60∘. The height of the tower is
A tree breaks due to a storm and the broken part bends down such that the top of the tree touches the ground making an angle of 30o with the ground at a distance of 30 m. Then, the height of the tree is:
An observer 1.5 m tall is 28.5 m away from a tower. The angle of elevation of the top of the tower from his/her eyes has measure 45. What is the height of the tower?
In the figure given, from the top of a building AB=60 m high the angles of depression of the top and bottom of a vertical lamp post CD are observed to be 30∘ and 60∘ respectively. Find: (i) The horizontal distance between AB and CD. (ii) The height of the lamp post CD.