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.
