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<p>Introduction.</p>
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<p>Hi guys, welcome to today's tutorial. In this lesson, we’ll be working through <strong>NABTEB Mathematics past questions</strong>. These step-by-step solutions will help you understand key mathematical concepts and improve your exam performance.</p>
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<p>Let’s get started with the questions and answers.</p>
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https://www.youtube.com/watch?v=TldXvbtGxFc
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<h2 class="wp-block-heading" id="h-question-1-room-dimensions-and-diagonal">Question 1 – Room Dimensions and Diagonal</h2>
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<p>The first question says: <em>The dimensions of a room are 15 m long, 8 m wide, and 10 m high. Calculate the angle which the diagonal of the room makes with the floor.</em></p>
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<h3 class="wp-block-heading" id="h-understanding-the-question">Understanding the Question</h3>
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<p>We are given a rectangular room with:</p>
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<li><strong>Length = 15 m</strong></li>
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<li><strong>Width = 8 m</strong></li>
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<li><strong>Height = 10 m</strong></li>
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<p>The question requires us to determine the angle between the <strong>diagonal of the cuboid (room)</strong> and its base (floor).</p>
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<h2 class="wp-block-heading">Exam Tip</h2>
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<p>In NABTEB and WAEC Mathematics, <strong>3D geometry questions</strong> often involve <strong>Pythagoras’ theorem</strong>. Always break the problem into 2D sections first, then extend to 3D for clarity.</p>
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<p><mark style="background-color:rgba(0, 0, 0, 0)" class="has-inline-color has-vivid-cyan-blue-color"><strong>Watch the full tutorial here:</strong></mark> https://www.youtube.com/watch?v=TldXvbtGxFc</p>
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<h2 class="wp-block-heading">Conclusion</h2>
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<p>This problem illustrates how <strong>geometry and trigonometry</strong> combine in solving real-life mathematical applications. By practicing questions like these, you will build confidence for <strong>NABTEB, WAEC, and JAMB examinations</strong>, especially in tackling space geometry and angles.</p>
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<p><strong><mark style="background-color:rgba(0, 0, 0, 0)" class="has-inline-color has-vivid-cyan-blue-color">Related Videos:</mark></strong></p>
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<li><a href="https://allcbts.com/trigonometry-mathematics-past-questions/">Trigonometry Mathematics Past Questions</a></li>
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<h2 class="wp-block-heading" id="h-keywords">Keywords</h2>
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<ul class="wp-block-list"><!-- wp:list-item -->
<li>NABTEB Mathematics past questions</li>
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<li>WAEC Mathematics tutorial</li>
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<li>JAMB math preparation</li>
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<li>Geometry and trigonometry problems</li>
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<li>Diagonal of a cuboid</li>
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<li>3D geometry calculations</li>
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<li>Standard math solutions for exams</li>
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