3. 42ft. 4.83ft. 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 Special Right + 4.83ft. = 18.83 √3 ft. Trigonometry + 4.83ft. ≈ 29.08 ft.

4. 26 ft. 4.83 ft. Special Right Triangles Leg = leg 26 = 26 Hyp = sh. Leg * √2 Hyp = 26 × √2 Hyp = 26√2 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 Special Right + 4.83 = 30.83ft. Trigonometry + 4.83 ≈ 30.83ft.

5. 14ft. 5.3ft. 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 Special Right + 5.3 = 19.3√3ft. Trigonometry + 5.3 ≈ 29.55ft.

6. 56ft. 5.5ft. Special Right Triangles sh. leg = sh. leg/ √3 sh. leg = 56 /√3 sh. leg = 56√3 3 Hyp = sh. leg × 2 Hyp = 56√3 × 2 3 Hyp = 112√3ft. 3 Special Right + 5.5ft. = 56√3 + 5.5ft. 3

7. The average of the height of the wall using Special Right Triangles ≈ 32.30 or 18.93√3 The average of the height of the wall using Trigonometry ≈ 29.82 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.