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Question about Right Triangle: Metric Relationships

Mathematics

Originais Teachy

Right Triangle: Metric Relationships

Medium

(Originais Teachy 2023) - Question Medium of Mathematics

On a windy day, João flew a kite that formed a right angle with the ground. The kite string, which was fully stretched, measures 15 meters and forms a 60° angle with the ground. Considering this situation and knowing that the metric relations in a right triangle are based on similarity relations, what is the distance of João's kite to the ground and what is the horizontal distance the kite is from the point where João flew it?
a.
The distance of João's kite to the ground is 15/2 meters and the horizontal distance the kite is from the point where João flew it is (15/2) * √3 meters.
b.
The distance of João's kite to the ground is (15/2) * √3 meters and the horizontal distance the kite is from the point where João flew it is 15/2 meters.
c.
The distance of João's kite to the ground is 15 * √3 meters and the horizontal distance the kite is from the point where João flew it is (15/2) meters.
d.
The distance of João's kite to the ground is 15 meters and the horizontal distance the kite is from the point where João flew it is (15/2) * √3 meters.
e.
The distance of João's kite to the ground is (15/2) meters and the horizontal distance the kite is from the point where João flew it is 15 * √3 meters.

Answer sheet:

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