write note on triangulation method for the height of an accesible object with diagram
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Answer:
Discuss the triangulation method to measure the height of accessible object.
Answer
Triangulation method uses the geometry of the triangle and is used for measuring large distances such as height of a mountins, distances of moon, planet and starts from the earth etc.
The height of a distant but an accessible object like BC can be determined by measuring the angle θ subtended at A.
That is ,
Angle of elevation of top at A = θ
The distance from the foot of the object is x.
Now, from the figure,
tan θ = hx
⇒ h = x tan θ, is the required height of the accessible object.
Answer:
Triangulation method for the height of an accessible object:
Let AB = h be the height of the tree or tower to 6e measured. Let C be the point of observation at distance x from B. Place a range finder at C and measure the angle of elevation, ACB = θ as shown in figure.
From right angled triangle ABC, tan θ = AB/BC = h/x (or) height h = x tan θ Knowing the distance x.
the height h can be determined.
Explanation: