Answer: 7.6 feet.
Step-by-step explanation:
1. Based on the information given in the problem, you can draw a right triangle as the one shown in the figure attached, where x is the distance between the foot of the stop sign and the stake.
2. Then, you can calculate x as following:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
Where:
[tex]\alpha=51\°\\adjacent=x\\hypotenuse=12[/tex]
Substitute values and solve for x:
[tex]cos(51\°)=\frac{x}{12}\\x=12*cos(51\°)\\x=7.55[/tex]
3. To the nearest tenth of a foot, the distance is: 7.6 feet.
