mariahmanrique0939 mariahmanrique0939
  • 24-03-2020
  • Mathematics
contestada

The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?

Respuesta :

thamimspartan thamimspartan
  • 03-04-2020

The length of the shadow is 124.7 in

Explanation:

Given:

Angle, θ = 30°

Height of the fence,  h = 72 in

Length of the shadow, l = ?

Given:

tan 30° = [tex]\frac{perpendicular}{base} = \frac{height of the fence}{length of the shadow}[/tex]

[tex]\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in[/tex]

Therefore, the length of the shadow is 124.7 in

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