ayl3tt ayl3tt
  • 09-03-2021
  • Mathematics
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What is the angle of elevation of the sun when a 49-ft mast casts a 22 ft shadow?

Respuesta :

Muscardinus Muscardinus
  • 14-03-2021

Answer:

[tex]\theta=65.82^{\circ}[/tex]

Step-by-step explanation:

Given that,

Perpendicular = 49 ft

Base = 22 ft

We need to find the angle of elevation of the sun. It can be calculated using trigonometry as follows :

[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{49}{22}\\\\\theta=65.82^{\circ}[/tex]

So, the required angle of elevation is [tex]65.82^{\circ}[/tex].

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