If the altitude of the sum is at 60°, then the height of the vertical tower that will cast a shadow of length 30m is
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We are given:
– The angle of elevation of the sun (θ) = 60°,
– Length of the shadow = 30 m.
Using the tangent function:
tanθ = (Height of the tower) / (Length of the shadow).
Substitute the values:
tan60° = Height / 30.
From trigonometric values, tan60° = √3:
√3 = Height / 30.
Solve for Height:
Height = 30 × √3 = 30√3 m.
This question related to Chapter 9 Mathematics Class 10th NCERT. From the Chapter 9 Applications of Trigonometry. Give answer according to your understanding.
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