theemailuwontforget theemailuwontforget
  • 10-02-2022
  • Mathematics
contestada

a tower that is 125 feet tall casts a shadow that is 172 feet long. find the angle of elevation of the sun

Respuesta :

mhanifa
mhanifa mhanifa
  • 22-02-2022

Answer:

  • 36°

Step-by-step explanation:

Let the height of the tower is a and the shadow is b.

When connected, these segments form a right triangle.

We are looking for the angle x opposite to side a.

Use trigonometry to find it:

  • tan x = a/b
  • tan x = 125/172
  • tan x = 0.7267
  • x = arctan 0.7267
  • x = 36°
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