emilyybhm
emilyybhm emilyybhm
  • 10-07-2020
  • Mathematics
contestada

When the sun is 62° above the horizon, a building casts a shadow 18 m long. How tall is the building?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 20-03-2021

9514 1404 393

Answer:

  33.9 m

Step-by-step explanation:

The relationship between the building height (h), the shadow length (s), and the angle of elevation of the sun (α) is ...

  tan(α) = h/s

  h = s·tan(α) = (18 m)tan(62°) ≈ 33.853 m

The building is about 33.9 meters tall.

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