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In the space below make a neat orthographic drawing to a scale 2:1 of the given isometric view.

Computer Science

ScanSolve AI Answer

Answer

96.42 m

Step-by-step solution

4 steps
  1. Determine ∠ACB\angle ACB in △ABC\triangle ABC.

    ∠ACB=180∘−∠BAC−∠ABC=180∘−40∘−60∘=80∘\angle ACB = 180^\circ - \angle BAC - \angle ABC = 180^\circ - 40^\circ - 60^\circ = 80^\circ
  2. The banks are parallel straight lines, with line ACAC along one bank and point BB on the other bank.

    The bridge length dd is the perpendicular distance from BB to line ACAC.

    d=AB⋅sin⁡∠BACd = AB \cdot \sin \angle BAC
  3. Substitute AB=150AB = 150 m and ∠BAC=40∘\angle BAC = 40^\circ.

    d=150⋅sin⁡40∘ md = 150 \cdot \sin 40^\circ~\text{m}
  4. Compute sin⁡40∘≈0.6428\sin 40^\circ \approx 0.6428.

    d≈150×0.6428=96.42 md \approx 150 \times 0.6428 = 96.42~\text{m}

    96.42 m

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