Calculating Work Done by Tension in Vine for Tarzan

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The work done by the tension in the vine as Tarzan swings through the jungle is zero because the tension force is always perpendicular to his displacement. Since work is defined as the product of force and displacement in the direction of the force, no work is done when the force is perpendicular. Despite Tarzan dropping 4.00 m vertically, the tension does not contribute to work in this scenario. Understanding the relationship between force direction and displacement is crucial in physics. Therefore, the conclusion is that the tension in the vine does no work on Tarzan during his swing.
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Tarzan, who weighs 875 N, swings from a vine through
the jungle. How much work is done by the tension in the
vine as he drops through a vertical distance of 4.00 m?

The answer is zero.

Why is this?
 
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You might want to draw a sketch of King of the Jungle as he swings from a long vine. At some point he is 4 m vertically lower than his starting point. The tension force in the vine is always perpendicular to his displacement vector at any instant. What is the definition of work?
 

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