Question
Download Solution PDFThe angle of elevation of the top of a tower from a point on the ground, which is 48m away from the foot of the tower is 30°. Find the height of the tower.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Horizontal distance = 48 m; angle elevation = \(30°\)
Formula used:
\(\tan θ = \frac{\text{height}}{\text{distance}}\)
Calculations:
⇒ \(\tan30° = \frac{h}{48}\)
⇒ \(\frac{1}{√3} = \frac{h}{48}\)
⇒ h = \(48 × \frac{1}{√3} = \frac{48}{√3}\) = 16√3
∴ Height of the tower 16√3 m.
Last updated on Jul 17, 2025
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