Arnold works for an electric company and is installing a new power pole. He wants to add a support wire that connects to the pole 10 feet above the ground. He needs to connect the wire to the ground at a 60° angle. Arnold wants to determine the length of the wire. Complete the following sentences.
The length of the wire can be found using the measurement of the angle the wire makes with the ground and the trigonometric function ____ .
The length of the wire, to the nearest thousandth of a foot, is ______ feet.
"Sine" and "11.547" We know the height of the triangle (the opposite side) (10 feet) and the angle that the wire makes with the ground (60 degrees). So we have the equation for x (the hypotenuse) the length of the wire: 10/x = sine 60 degrees x=10/sine 60 degrees x= 10/0.86603 x = 11.547 feet
