ortegacruz90 ortegacruz90
  • 08-05-2021
  • Mathematics
contestada

A tower that is 103 feet tall casts a shadow 117 feet long. Find the angle of elevation of the sun to the
nearest degree

Respuesta :

Muscardinus Muscardinus
  • 13-05-2021

Answer:

[tex]\theta=61.68^{\circ}[/tex]

Step-by-step explanation:

Given that,

The height of a tower, h = 103 feet

The height of its shadow, H = 117 feet

The height of tower is perpendicular and the height of shadow is hypotenuse of a right angled triangle. We can use trigonometry such that,

[tex]\sin\theta=\dfrac{h}{H}\\\\\theta=\sin^{-1}(\dfrac{103}{117})\\\\\theta=61.68^{\circ}[/tex]

So, the angle of elevation of the sun is equal to [tex]61.68^{\circ}[/tex].

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