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A ladder on the platform of a fire brigade van can be elevated at an angle of 70° to the maximum. The length of the ladder can be extended upto 20m. If the platform is 2m above the ground, find the maximum height from the ground upto which the...

A ladder on the platform of a fire brigade van can be elevated at an angle of 70° to the maximum. The length of the ladder can be extended upto 20m. If the platform is 2m above the ground, find the maximum height from the ground upto which the ladder can reach. (sin 70° = 0.94)

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Answer: 20.8 m

Let the ladder AC = 20 m start from A on the platform and make \(70^\circ\) with the horizontal. Let CB be the vertical height of the top above the platform level.

\[\sin70^\circ=\frac{CB}{AC}\Rightarrow CB=20\times0.94=18.8\ \text{m}\]

Height from the ground \(=18.8+2=20.8\) m.

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report
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