Answer:
The angle of elevation of the sun when casting the flagpole's shortest shadow is [tex]64^{\circ}[/tex] .
Option (D) is correct .
Step-by-step explanation:
As given
The world's tallest unsupported flagpole is a 282ft tall steel pole in Surrey, British Columbia.
The shortest shadow cast by the pole during the year is 137ft long.
Now by using the trignometric identity .
[tex]tan\theta = \frac{Perpendicular}{Base}[/tex]
As the figure is given below
Perpendicular = AB = 282 ft
Base = BC = 147 ft
Putting all the values in the trignometric identity .
[tex]tan\theta = \frac{AB}{BC}[/tex]
[tex]tan\theta = \frac{282}{147}[/tex]
[tex]\theta =tan^{-1} \frac{282}{137}[/tex]
[tex]\theta = 64^{\circ}\ (Approx)[/tex]
Therefore the angle of elevation of the sun when casting the flagpole's shortest shadow is [tex]64^{\circ}[/tex] .
Option (D) is correct .
