Final answer:
To find the length of the longer leg in a 30°-60°-90° triangle, we multiply the length of the shorter leg (5.3 feet) by √3. The calculated length of approximately 9.17 feet is not an option provided.
Step-by-step explanation:
The student's question involves finding the length of the longer leg in a 30°-60°-90° triangle given the length of the shorter leg. In such a triangle, the lengths of the sides have a fixed ratio of 1 : √3 : 2, with the shortest leg being opposite the 30° angle, the longer leg opposite the 60° angle, and the hypotenuse opposite the 90° angle.
To solve this, we use the fact that the length of the longer leg is √3 times the length of the shorter leg. Given that the shorter leg is 5.3 feet long, we can calculate the longer leg as 5.3 √3 feet. This calculation results in the longer leg being approximately 9.17 feet, which is not one of the options provided.
Considering the options given, there may have been an error in the question as the correct calculation is not listed. It's important for problems like this to have precise values for a standardized test or academic purpose.