Mathematics

A cylindrical drum is unloaded from a truck by rolling it down along a wooden plank. The length of the plank is 10 m and it is making an angle of 10° with the horizontal ground. Find the height from which the cylindrical drum was rolled down. Give your answer correct to 3 significant figures.

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Let AC be the plank and BC be the height from where the drum is rolled down.

⇒ sin θ = $\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}$

⇒ sin 10° = $\dfrac{BC}{AC}$

⇒ 0.1736 = $\dfrac{BC}{10}$

⇒ BC = 1.736 ~ 1.74 m

Hence, height from which the cylindrical drum was rolled down = 1.74 m.

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