A power line extends from a light pole 43 meters to the ground and makes an angle of 60 degrees with the ground. To the nearest tenth of a meter, how tall is the light pole?

Accepted Solution

Answer: 37.2 metersStep-by-step explanation: The triangle shown in the image attached is a right triangle. Therefore, to calculate the height of the light pole (x), you can apply the proccedure shown below: -Apply [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex] -Substitute values. -Solve for the  height of the light pole (x). Then you obtain the following result: [tex]sin\alpha=\frac{opposite}{hypotenuse}\\\\sin(60\°)=\frac{x}{43}\\\\x=43*sin(60)\\x=37.2[/tex]