Form 15: Word Problems and Real-World Applications Exercise

Form 15: Word Problems and Real-World Applications

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Form 15: Word Problems and Real-World Applications

Solve word problems and real-world applications involving triangle construction conditions and geometric properties. Practice applying construction rules to practical scenarios.

Questions

  1. MultiChoice

    A triangular garden bed is to be built with two timber borders of lengths 8 feet and 12 feet. What is the range of possible whole-number lengths for the third timber border?

  2. MultiChoice

    An architect designs a triangular roof truss with base 10 meters and two slope beams of 7 meters each. Can this truss be constructed as specified?

  3. MultiChoice

    A surveyor measures two sides of a triangular land plot as 150 meters and 200 meters, and the angle between them as 50°. Can a unique map of this plot be drawn?

  4. MultiChoice

    A navigation beacon receives signals from two towers. Tower A is at an angle of 40° and Tower B is at an angle of 70° from the beacon's baseline of 15 miles. Does this uniquely locate the beacon?

  5. MultiChoice

    A carpenter wants to make a triangular shelf frame with wood pieces measuring 5 inches, 12 inches, and 13 inches. What type of corner angle will be formed opposite the 13-inch piece?

  6. MultiChoice

    An artist wants to paint a triangular mural with interior angles measuring 45°, 55°, and 80°. If she paints it on a small canvas first and then on a large wall, how are the two murals related?

  7. MultiChoice

    A bridge frame requires a triangular support with side lengths 3 m, 4 m, and 8 m. The site manager rejects the order. Why?

  8. MultiChoice

    A tent designer uses two poles of length 2 meters each set at an angle of 60° to each other at the top peak. What will be the length of the ground base strap connecting the bottom of the poles?

  9. MultiChoice

    A sailor plots a course forming a triangle with leg 1 = 30 nautical miles due East, then turns North for leg 2 = 40 nautical miles. What is the straight-line distance back to the starting point?

  10. MultiChoice

    A city planner wants to build a triangular park bounded by three streets forming angles of 60°, 60°, and 60°. If one street side is 100 meters long, what are the lengths of the other two street sides?

  11. MultiChoice

    Three radio towers form a triangle. The distance between Tower 1 and Tower 2 is 12 km, between Tower 2 and Tower 3 is 16 km, and between Tower 1 and Tower 3 is 20 km. Is the triangle unique?

  12. MultiChoice

    A foldable tripod has three legs that meet at the top apex. When spread out, two legs of length 1 meter each make a 40° angle. Does this fix a unique triangular shape between the apex and the two leg feet?