Real World Problems

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1) A surveyor measures ∠A = 42°, ∠B = 68°, and side a = 120 m in a triangular plot. Find side b.
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About This Quiz
Real World Problems - Quiz

Curious how the Law of Sines applies beyond the classroom? In this quiz, you’ll use trigonometry to solve practical problems involving bridges, roofs, sails, and triangular plots. You’ll learn how to set up proportions, substitute real measurements, and determine missing sides in everyday structures. Step by step, you’ll build confidence... see moretranslating real-world geometry into clear, solvable trigonometric equations! see less

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2) A bridge support forms △LMN with ∠L = 40°, ∠N = 75°, and side l = 8 m. Find side n.
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3) A sail has triangular shape △ABC with ∠A = 30°, ∠C = 120°, and side a = 7 m. Find side c.
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4) A roof truss forms △XYZ with ∠X = 50°, ∠Y = 70°, and side x = 10 m. Find side y.
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5) A flag is hoisted on a triangular mast △DEF with ∠D = 37°, ∠F = 90°, and side d = 6 m. Find side f.
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6) A triangular parcel △RST has ∠R = 32°, ∠S = 120°, and side r = 12 m. Find side s.
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7) A sign is supported by triangle △JKL with ∠J = 35°, ∠K = 65°, and side j = 9 m. Find side k.
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8) A ramp is modeled as △OPQ with ∠O = 52°, ∠Q = 60°, and side o = 10 m. Find side q.
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9) A construction scaffold forms △UVW with ∠U = 53°, ∠W = 90°, and side u = 15 m. Find side w.
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10) A triangular panel △GHI has ∠G = 40°, ∠H = 80°, and side g = 7 m. Find side h.
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11) A triangular beam △MNO has ∠M = 36°, ∠O = 100°, and side m = 5 m. Find side o.
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12) A triangular garden △QRS has ∠Q = 50°, ∠R = 60°, and side q = 14 m. Find side r.
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13) A tent cross-section △TUV has ∠T = 39°, ∠U = 90°, and side t = 9 m. Find side u.
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14) A triangular shade △XYZ has ∠X = 30°, ∠Y = 105°, and side x = 8 m. Find side y.
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15) A triangular support △ABC has ∠A = 28°, ∠C = 120°, and side a = 13 m. Find side c.
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16) A triangular tile △DEF has ∠D = 45°, ∠E = 60°, and side d = 10 m. Find side e.
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17) A triangular lot △PQR has ∠P = 33°, ∠R = 110°, and side p = 8 m. Find side r.
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18) A triangular display △LMN has ∠L = 55°, ∠N = 65°, and side l = 9 m. Find side n.
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19) A triangular support △UVW has ∠U = 35°, ∠V = 120°, and side u = 7 m. Find side v.
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20) A triangular field △RST has ∠R = 70°, ∠S = 50°, and side r = 11 m. Find side s.
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A surveyor measures ∠A = 42°, ∠B = 68°, and side a =...
A bridge support forms △LMN with ∠L = 40°, ∠N = 75°, and side...
A sail has triangular shape △ABC with ∠A = 30°, ∠C = 120°, and...
A roof truss forms △XYZ with ∠X = 50°, ∠Y = 70°, and side x =...
A flag is hoisted on a triangular mast △DEF with ∠D = 37°, ∠F =...
A triangular parcel △RST has ∠R = 32°, ∠S = 120°, and side r =...
A sign is supported by triangle △JKL with ∠J = 35°, ∠K = 65°,...
A ramp is modeled as △OPQ with ∠O = 52°, ∠Q = 60°, and side o...
A construction scaffold forms △UVW with ∠U = 53°, ∠W = 90°,...
A triangular panel △GHI has ∠G = 40°, ∠H = 80°, and side g = 7...
A triangular beam △MNO has ∠M = 36°, ∠O = 100°, and side m = 5...
A triangular garden △QRS has ∠Q = 50°, ∠R = 60°, and side q =...
A tent cross-section △TUV has ∠T = 39°, ∠U = 90°, and side t =...
A triangular shade △XYZ has ∠X = 30°, ∠Y = 105°, and side x =...
A triangular support △ABC has ∠A = 28°, ∠C = 120°, and side a...
A triangular tile △DEF has ∠D = 45°, ∠E = 60°, and side d = 10...
A triangular lot △PQR has ∠P = 33°, ∠R = 110°, and side p = 8...
A triangular display △LMN has ∠L = 55°, ∠N = 65°, and side l =...
A triangular support △UVW has ∠U = 35°, ∠V = 120°, and side u...
A triangular field △RST has ∠R = 70°, ∠S = 50°, and side r =...
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