A person that is 175 cm tall is standing outside. How long is this person's shadow if the sun is 60 degrees above the ground?

Respuesta :

Answer: 101.03 cm

Step-by-step explanation:

Given

The height of the person is [tex]h=175\ cm[/tex]

Sun is [tex]60^{\circ}[/tex] above the ground

Suppose x is the length of the shadow

From the figure, we can write

[tex]\Rightarrow \tan 60^{\circ}=\dfrac{h}{x}\\\\\Rightarrow x=\dfrac{h}{\tan 60^{\circ}}\\\\\Rightarrow x=101.03\ cm[/tex]

So, the length of the shadow is 101.03 cm

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