Engineering Design → Roof Truss Analysis

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1) A triangular roof truss has a 40° pitch angle. If half the base is 5 m, what is the rise (nearest tenth)?
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Engineering Design Roof Truss Analysis - Quiz

Strong roofs start with strong trusses — and trigonometry is at the heart of their design. In this quiz, you’ll calculate angles, rises, and side lengths in triangular roof trusses. You’ll see how engineers and architects use mathematical modeling to ensure both strength and symmetry in every build. Step by... see morestep, you’ll connect geometry with real construction principles that make modern structures reliable and efficient. see less

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2) A roof truss has two equal sides of 11 m each and a base of 14 m. What is the peak angle (nearest degree)?
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3) Each side beam is 8 m long and the peak angle is 60°. What is the base length?
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4) A truss has a base of 18 m and a pitch angle of 35°. What is the rise (nearest tenth)?
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5) A truss has a base of 12 m and a pitch angle of 30°. Find the rise.
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6) A truss has a rise of 5 m and half the base is 7 m. What is the pitch angle (nearest degree)?
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7) A roof beam is 10 m long and makes a 45° angle with the base. What is the rise?
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8) A truss has a base of 20 m and rise of 12 m. Find the pitch angle (nearest degree).
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9) A triangular truss is isosceles with two equal sides of 15 m and base 18 m. Find the peak angle.
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10) A truss with a rise of 6 m and base half of 8 m has what pitch angle?
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11) A roof truss has equal sides of 9 m and a base of 10 m. What is the peak angle (nearest degree)?
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12) A truss has a rise of 4 m and half the base is 6 m. Find the pitch angle.
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13) If a truss has side beams 12 m and peak angle 40°, what is the base length?
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14) A truss supports a roof with base 16 m and rise 8 m. What is the pitch angle?
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15) A truss has a rise of 7 m and half the base is 10 m. What is the pitch angle (nearest degree)?
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16) A truss has side beams of 10 m each and a base of 12 m. What is the height at the peak (nearest tenth)?
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17) If the rise is 9 m and the half-base is 9 m, what is the pitch angle?
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18) A truss has equal sides of 6 m and base of 6 m. What is the peak angle?
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19) A truss has a base of 14 m and rise of 10 m. What is the length of the side beam?
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20) If a truss has side beams of 20 m and peak angle 50°, what is the base length?
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  • Oct 13, 2025
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  • Oct 05, 2025
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A triangular roof truss has a 40° pitch angle. If half the base is...
A roof truss has two equal sides of 11 m each and a base of 14 m. What...
Each side beam is 8 m long and the peak angle is 60°. What is the...
A truss has a base of 18 m and a pitch angle of 35°. What is the rise...
A truss has a base of 12 m and a pitch angle of 30°. Find the rise.
A truss has a rise of 5 m and half the base is 7 m. What is the pitch...
A roof beam is 10 m long and makes a 45° angle with the base. What...
A truss has a base of 20 m and rise of 12 m. Find the pitch angle...
A triangular truss is isosceles with two equal sides of 15 m and base...
A truss with a rise of 6 m and base half of 8 m has what pitch angle?
A roof truss has equal sides of 9 m and a base of 10 m. What is the...
A truss has a rise of 4 m and half the base is 6 m. Find the pitch...
If a truss has side beams 12 m and peak angle 40°, what is the base...
A truss supports a roof with base 16 m and rise 8 m. What is the pitch...
A truss has a rise of 7 m and half the base is 10 m. What is the pitch...
A truss has side beams of 10 m each and a base of 12 m. What is the...
If the rise is 9 m and the half-base is 9 m, what is the pitch angle?
A truss has equal sides of 6 m and base of 6 m. What is the peak...
A truss has a base of 14 m and rise of 10 m. What is the length of the...
If a truss has side beams of 20 m and peak angle 50°, what is the...
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