Real World Problems

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Thames
T
Thames
Community Contributor
Quizzes Created: 7387 | Total Attempts: 9,527,684
| Questions: 20 | Updated: Nov 11, 2025
Please wait...
Question 1 / 20
0 %
0/100
Score 0/100
1) A surveyor measures ∠A = 42°, ∠B = 68°, and side a = 120 m in a triangular plot. Find side b.
Submit
Please wait...
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

2)
You may optionally provide this to label your report, leaderboard, or certificate.
2) A bridge support forms △LMN with ∠L = 40°, ∠N = 75°, and side l = 8 m. Find side n.
Submit
3) A sail has triangular shape △ABC with ∠A = 30°, ∠C = 120°, and side a = 7 m. Find side c.
Submit
4) A roof truss forms △XYZ with ∠X = 50°, ∠Y = 70°, and side x = 10 m. Find side y.
Submit
5) A flag is hoisted on a triangular mast △DEF with ∠D = 37°, ∠F = 90°, and side d = 6 m. Find side f.
Submit
6) A triangular parcel △RST has ∠R = 32°, ∠S = 120°, and side r = 12 m. Find side s.
Submit
7) A sign is supported by triangle △JKL with ∠J = 35°, ∠K = 65°, and side j = 9 m. Find side k.
Submit
8) A ramp is modeled as △OPQ with ∠O = 52°, ∠Q = 60°, and side o = 10 m. Find side q.
Submit
9) A construction scaffold forms △UVW with ∠U = 53°, ∠W = 90°, and side u = 15 m. Find side w.
Submit
10) A triangular panel △GHI has ∠G = 40°, ∠H = 80°, and side g = 7 m. Find side h.
Submit
11) A triangular beam △MNO has ∠M = 36°, ∠O = 100°, and side m = 5 m. Find side o.
Submit
12) A triangular garden △QRS has ∠Q = 50°, ∠R = 60°, and side q = 14 m. Find side r.
Submit
13) A tent cross-section △TUV has ∠T = 39°, ∠U = 90°, and side t = 9 m. Find side u.
Submit
14) A triangular shade △XYZ has ∠X = 30°, ∠Y = 105°, and side x = 8 m. Find side y.
Submit
15) A triangular support △ABC has ∠A = 28°, ∠C = 120°, and side a = 13 m. Find side c.
Submit
16) A triangular tile △DEF has ∠D = 45°, ∠E = 60°, and side d = 10 m. Find side e.
Submit
17) A triangular lot △PQR has ∠P = 33°, ∠R = 110°, and side p = 8 m. Find side r.
Submit
18) A triangular display △LMN has ∠L = 55°, ∠N = 65°, and side l = 9 m. Find side n.
Submit
19) A triangular support △UVW has ∠U = 35°, ∠V = 120°, and side u = 7 m. Find side v.
Submit
20) A triangular field △RST has ∠R = 70°, ∠S = 50°, and side r = 11 m. Find side s.
Submit
×
Saved
Thank you for your feedback!
20)
Your input helps us improve, and you’ll get your detailed results next.
View My Results
Cancel
  • All
    All (20)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
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 =...
Alert!

Advertisement