teyannahonore02 teyannahonore02
  • 26-11-2018
  • Mathematics
contestada

The flagpole in front of CB East casts a shadow 40 feet long when the measurement of the angle of elevation to the sun is 31˚. How tall is the flagpole?

Respuesta :

RenatoMattice RenatoMattice
  • 06-12-2018

Answer: The length of flagpole is 24 feet.

Step-by-step explanation:

Since we have given that

Length of shadow =40 feet

Angle of elevation to the sun = [tex]31\textdegree[/tex]

In ΔABC,

We can apply "trigonometric rules ",

[tex]\tan\theta=\frac{AB}{BC}\\\\\tan31\textdegree=\frac{AB}{40}\\\\0.6\times 40=AB\\\\24\ feet=AB[/tex]

Hence, the length of flagpole is 24 feet.

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