Mathematics

Question

A stick 1 meter long casts a shadow 0.6 meters long. A building casts a shadow 25 meters long. How tall is the building (to 2 decimal places)

1 Answer

  • Answer:

    41.67

    Step-by-step explanation:

    Using the tangent on the stick with shadow:

    tan(θ) = [tex]\frac{1}{0.6}[/tex]

    Using the tangent on the building:

    tan(θ) = [tex]\frac{h}{25}[/tex]

    ⇒ h = 25 · tan(θ)

           = 25 · [tex]\frac{1}{0.6}[/tex]

    ⇒ h = 41.66... ≈ 41.67

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