BRAINLIEST FOR HELP!! *i might possibly have answer i want to see if i did it right*a 20 ft flagpole is casting a 8.9 foot shadow, what is the suns angle?

Respuesta :

Step-by-step explanation:

the angle of elevation of the sun is θ is related to the given sides of the right triangle (assuming the ground is horizontal and the flag pole is vertical) by tangent.

the shadow is adjacent to the angle while the flagpole is opposite to it.

so to find the angle of elevation:

arctan(20/8.9)

= 66.01 degrees

comment if you have any doubt or need further help.

  • Perpendicular=20ft=P
  • Base=8.9ft=B

Angle be alpha

[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{P}{B}[/tex]

[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{20}{8.9}[/tex]

[tex]\\ \rm\Rrightarrow tan\alpha=2.25[/tex]

[tex]\\ \rm\Rrightarrow \alpha=tan^{-1}(2.25}[/tex]

[tex]\\ \rm\Rrightarrow \alpha=66.04°[/tex]