Find the tower's height(h-opposite side AB) from the given figure where BC is the adjacent side. Use the trigonometric ratio ‘Tan’.
Answers
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Hence, The Height Of The Tower Is 86.60 Km
GIVEN
Distance between the foot of the tower and point of observation = BC = 50m
Angel of elevation = θ = 60°
TO FIND
Height of the Tower.
SOLUTION
We can simply solve the above problem as follows -
From the figure, we can observe that ABC is a right-angled triangle
Applying the law of tangent in ΔABC
tanθ = Ratio of the opposite side of the triangle to the opposite side
We know that,
tan60 = √3
BC = 50
Putting the values in the above equation, we get
AB = 50√3 km
Putting √3 = 1.73
AB = 50 × 1.73 = 86.60km
Hence, The Height Of The Tower Is 86.60 Km
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