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Measuring the Height of Brownlee Hall Using Trigonometric Techniques

This research project explores the measurement of an object's height using trigonometry, specifically the tangent function. By establishing the angle of elevation from a fixed point to the top of Brownlee Hall, along with the distance from the base of the building, we apply the formula H = x tan(θ) + h, where H is the total height, x is the distance, and h is the height of the platform. Our null hypothesis states that the average height of the building is 360 inches. Based on collected data and a low p-value, we reject the null hypothesis, indicating our alternative hypothesis may hold true.

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Measuring the Height of Brownlee Hall Using Trigonometric Techniques

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Presentation Transcript

  1. TLSAMP 2005 Group 1

  2. Kristen Davis • Keisha Ware • Dynisha Lee • Tremiele Todd • Francesca Kinsey • Orlando Marner II

  3. Hypothesis • Objective • Materials • Method • Data • Conclusion

  4. The height of an object can be measured using trigonometry. • H = x tanθ + h • H is the height of the object • x is the distance from the base of the object to a fixed point • θ is the angle of elevation from the fixed point to the top of the object • h is the height of the platform

  5. H0 :=360 (null hypothesis) • The null hypothesis is assumed true until sufficient evidence is obtained to warrant its rejection. • Ha :360 (alternative hypothesis) • The alternative hypothesis is accepted as true if we can disprove the null hypothesis.

  6. To get the most accurate measurement of the height of Brownlee Hall

  7. Tape Measure • Angle Measurer (protractor) • Orange Cone • Calculator

  8. We measured the distance from the object in inches . • We measured the angle of elevation in degrees. • We measured the height of the platform in inches.

  9. We calculated the tangent of the angle of elevation. • We then multiplied the distance from the object by the calculated tangent of the angle of elevation. • The height of the platform was then added to the product of the distance from the object and the calculated tangent of the angle of elevation.

  10. Because the p value was so low our null hypothesis is rejected. • The data we collected for the height of the building was not accurate. • Therefore, the alternative hypothesis is accepted.

  11. However, in doing this research we did learn how to form and test a null and alternative hypothesis and to make a conclusion from the data collected. • The height of an object is equal to the distance from the object multiplied by the tangent of the angle of elevation; this product is added to the height of the platform for the final answer.

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