The measurement of an object in the vertical direction known as Height.
The measurement of an object from a particular point in the horizontal direction Known as Distance .
There are two primary ways to express the angular relationship between the height of an object and an observer's line of sight:
Example: A boy is flying a kite in the evening. The thread of the kite was 120 m long and the angle of elevation with the boy’s eyes was 30°. Find the height of the kite?
(a) 30 m
(b) 60 m
(c) 40 m
(d) 55 m
Ans: (b)
Sin 30° = Perpendicular/Hypotenuse = AC/AB
1/2 = ℎ/120
h = 60 m
Example: Find the angle of elevation of the sun when the shadow of a pole of 18 m height is 6√3 m long?
(a) 45°
(b) 60°
(c) 30°
(d) 90°
Ans: (b)
Let AB be the pole and CB be the shadow
Given that AB = 18 m and CB = 6√3
Let the angle of elevation, ACB = θ
From the right ΔABC, Tan θ = Perpendicular/Base =
Therefore, θ = tan–1(√3) = 60°
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