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Question about Trigonometry: Values of Special Angles

Math

Originais Teachy

Trigonometry: Values of Special Angles

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(Originais Teachy 2023) - Question Medium of Math

Maria is building a triangular swing in her garden and wants the structure to be firm and secure. For this, she realized that she needs to calculate the length of the ropes that will support the ends of the swing. The base of the triangle is 2 meters and the angle formed between the base and each rope is 45º on the left side and 60º on the right side. Given the information, (a) determine the length of each rope, using basic trigonometric relations (sine, cosine, and tangent). (b) Calculate the height of the triangle relative to the base. (c) Indicate the relationship between the sides of this triangle and the given angles.

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