What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tenth)

Answer:6.9 foot.Step-by-step explanation:Given: Length of lamp post= 12-foot.            The angle of elevation of the sun is 60°.∴ The length of Lamp post, which is opposite is 12-foot.   Now, finding the length of shadow cast by foot lamp.Length of shadow is adjacent.∴ We know the formula for [tex]Tan\theta[/tex]= [tex]\frac{Opposite}{adjacent}[/tex]Next, putting the value in the formula.⇒ [tex]Tan 60° = \frac{12}{adjacent}[/tex]Cross multiplying both side and using the value of Tan 60°∴ Adjacent= [tex]\frac{12}{\sqrt{3} } = 6.92[/tex] ≅ 6.9 (nearest tenth value)6.9 is the length of shadow cast by a 12-foot lamp post.