2. 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 ≈ 24.24 Special Right + 4.83ft. = 18.83 √3 ft. Trigonometry + 4.83ft. ≈ 29.07 ft.

4. 10ft. 5.3ft. Special Right Triangles Hyp = sh. leg × 2 Hyp = 10 × 2 Hyp = 20ft. L. leg = sh. Leg * √3 L. leg = 10 × √3 L. leg = 10√3 Trigonometry (Hyp) cos60 = 10/hyp 10/cos60 = hyp hyp ≈ 20.00 (L. leg) tan60 = L. leg/ 10 tan60 × 10 = L. leg L. leg ≈ 17.32 Special Right + 5.3 = 15.3√3ft. Trigonometry + 5.3 = 22.62ft.

5. 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 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 Special Right + 5.5ft. = 56√3 + 5.5ft. 3 Trigonometry + 5.5ft. = 25.88