Respuesta :
Answer: Hence, the angle of elevation with the top of the flag is 59° and
And the equation would be [tex]\theta=\tan^{-1}(\dfrac{AB}{BC})[/tex]
Step-by-step explanation:
Since we have given that
Height of top of the flag = 25 feet
Distance of the base of flagpole from the person standing on the ground = 15 feet
We need to find the angle of elevation θ :
Consider ΔABC,
[tex]\tan \theta=\dfrac{AB}{BC}\\\\\tan\theta=\dfrac{25}{15}\\\\\tan \theta=1.67\\\\\theta=\tan^{-1}(1.67)\\\\\theta=59^\circ[/tex]
Hence, the angle of elevation with the top of the flag is 59°.
And the equation would be
[tex]\theta=\tan^{-1}(\dfrac{AB}{BC})[/tex]