Kim drew the diagram below to find x, the length of the pole holding up the stop sign that is at an angle with the ground as shown. In the figure shown, the length of the pole holding the stop sign is x and its shadow on the ground is 12 feet. A triangle is formed by connecting two ends of the pole and the endpoint of the shadow. The angle of elevation of the shadow with the top of the pole is 40 degrees and the angle subtended by the pole on the ground is 80 degrees. The third angle of the triangle is 60 degrees. The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation. Which equation could Kim use to find x, the length of the pole? StartFraction sine 40 over x EndFraction equal to StartFraction sine 60 over 12 EndFraction. StartFraction sine 40 over 12 EndFraction equal to StartFraction sine 60 over x EndFraction. StartFraction sine 60 over x EndFraction equal to StartFraction sine 80 over 12 EndFraction. StartFraction sine 80 over x EndFraction equal to StartFraction sine 40 over 12 EndFraction.
