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2. แมนเมืองพาดบันไดไว้กับกำแพงโดยให้ปลายบันไดตอนบนจดขอบกำแพงพอดี ถ้าบันไดยาว 6.5 เมตร และ บันไดนี้ทำมุมกับพื้นดินประมาณ \( 52^{\circ} \) กำาแพงนี้สูงประมาณเท่าใด

Ask by Bryant Horton. in Thailand
Mar 13,2025

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กำแพงสูงประมาณ 5.12 เมตร.

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เพื่อหาความสูงของกำแพง สามารถใช้ฟังก์ชันตรีโกณมิติ โดยใช้สูตรการหาค่าที่อยู่ตรงข้ามมุม (ความสูง) ในสามเหลี่ยมมุมฉาก: ความสูง = ความยาวบันได × sin(มุม) โดยที่ มุมคือ \( 52^{\circ} \) และความยาวบันไดคือ 6.5 เมตร ดังนั้น คำนวณได้ว่า: ความสูง = 6.5 × sin(52°) ≈ 6.5 × 0.7880 ≈ 5.13 เมตร ดังนั้น จึงประมาณได้ว่ากำแพงสูงประมาณ 5.13 เมตร!

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