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)

Answer 1

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