1 / 6

How Tall Is It?

How Tall Is It?. By: Nikolas Kassouf, Angelo Drakos , David Sessamen , and Ben Claude. 30 Degree angle . Special Right Triangles sh. leg = sh. leg/ √3 sh. leg = 42 /√3 sh. leg = 14√3 Hyp = sh. leg × 2 Hyp = 14√3 × 2 Hyp = 28√3ft. Trigonometry (Hyp) cos30 = 42/hyp

sivan
Download Presentation

How Tall Is It?

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. How Tall Is It? By: Nikolas Kassouf, Angelo Drakos, David Sessamen, and Ben Claude

  2. 30 Degree angle Special Right Triangles sh. leg = sh. leg/ √3 sh. leg = 42 /√3 sh. leg = 14√3 Hyp = sh. leg × 2 Hyp = 14√3 × 2 Hyp = 28√3ft. Trigonometry (Hyp) cos30 = 42/hyp 42/cos30 = hyp hyp ≈ 48.90 (Sh. leg) tan30 = Sh. leg/ 42 tan30 × 42 = Sh. leg Sh. leg ≈ 24.25 4.83ft. 42ft. Special Right + 4.83ft. = 18.83 √3 ft. Trigonometry + 4.83ft. ≈ 29.08 ft.

  3. Special Right Triangles Leg = leg 26 = 26 Hyp = sh. Leg * √2 Hyp = 26 × √2 Hyp = 26√2 45 Degree angle Special Right + 4.83 = 30.83ft. Trigonometry + 4.83 ≈ 30.83ft. Trigonometry (Hyp) cos45 = 26/hyp 26/cos45 = hyp hyp ≈ 36.78 (L. leg) tan45 = L. leg/ 26 tan45 × 26 = L. leg L. leg ≈ 26.00 4.83 ft. 26 ft.

  4. 60 Degree Angle Special Right + 5.3 = 19.3√3ft. Trigonometry + 5.3 ≈ 29.55ft. Special Right Triangles Hyp = sh. leg × 2 Hyp = 14 × 2 Hyp = 28ft. L. leg = sh. Leg * √3 L. leg = 14 × √3 L. leg = 14√3 Trigonometry (Hyp) cos60 = 14/hyp 14/cos60 = hyp hyp ≈ 28.00 (L. leg) tan60 = L. leg/ 14 tan60 × 14 = L. leg L. leg ≈ 24.25 5.3ft. 14ft.

  5. 20 Degree Angle 5.5ft. 56ft. Trigonometry (Hyp) cos20 = 56/hyp 56/cos20 = hyp hyp ≈ 59.59 (Sh. leg) tan20 = Sh. leg/ 56 tan20 × 56 = Sh. leg L. leg ≈ 20.38 Trigonometry + 5.5ft. = 25.88

  6. The Conclusion The average of the height of the wall using Special Right Triangles ≈ 32.29 The average of the height of the wall using Trigonometry ≈ 28.84 The way that we calculated the side of the wall was by using either Special Right Triangles or Trigonometry. In Special Right we either did the following procedures: 1) 30 degrees – divided the long leg by the square root of three 2) 45 degrees – since leg = leg, the side was the same as the side given 3) 60 degrees – multiplied the long leg by the side given and √3 For Trigonometry, we did the following operations: 1) 30 degrees – multiplied the tangent of 30 and the side given, 42 ft. 2) 45 degrees – multiplied the tangent of 45 and the side given, 26 ft. 3) 60 degrees – multiplied the tangent of 60 and the side given, 14 ft. 4) 20 degrees – multiplied the tangent of 20 and the side given, 56 ft. For all operations, we had to add our height of ourselves to our eyes to get the total height of the wall.

More Related