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TEA [102]
3 years ago
5

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 de

cimal places)
Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Answer:

41.67

Step-by-step explanation:

Using the tangent on the stick with shadow:

tan(θ) = \frac{1}{0.6}

Using the tangent on the building:

tan(θ) = \frac{h}{25}

⇒ h = 25 · tan(θ)

       = 25 · \frac{1}{0.6}

⇒ h = 41.66... ≈ 41.67

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