Respuesta :

The angle of elevation of the sun is about 33.69 degrees.

Important information:

  • Length of the tree is 10 feet.
  • Length of the shadow is 15 feet.

Angle of elevation:

Let the angle of elevation be [tex]\theta[/tex].

[tex]\tan \theta=\dfrac{\text{Length of object}}{\text{Length of its shadow}}[/tex]

[tex]\tan \theta=\dfrac{10}{15}[/tex]

[tex]\theta=\tan ^{-1}\dfrac{2}{3}[/tex]

[tex]\theta\approx 33.69^\circ[/tex]

Therefore, the angle of elevation of the sun is about 33.69 degrees.

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