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)
Mathematics
DanaexR
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

1. User Answers ROTRUY
Answer:
41.67
Stepbystep 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