Answer:
6.67 feet
Step-by-step explanation:
The situation is as shown in the figure.
ON is the normal to the mirror at the point of incidence O
⇒ ∠BON = ∠DON = 90°
By the laws of reflection: angle of incidence = angle of reflection :
∠AON = ∠CON
⇒ ∠AOB = ∠COD
⇒tan(∠AOB) = tan(∠COD)
⇒[tex]\frac{AB}{OB}[/tex] = [tex]\frac{CD}{OD}[/tex]
⇒[tex]\frac{6}{4}[/tex] = [tex]\frac{10}{x}[/tex]
⇒x = [tex]\frac{40}{6}[/tex] = [tex]\frac{20}{3}[/tex] = 6.67 ft
∴ Distance of the mirror from basketball goal is 6.67 ft
