Final answer:
To paint the triangular wall, calculate the area using the formula A = 0.5 * base * height. Then, divide the area by the painter's painting rate to find the time. Finally, convert the time from hours to minutes.
Step-by-step explanation:
To find out how long it will take the house painter to paint the triangular wall, we need to calculate the area of the wall first. The area of a triangle can be found using the formula: A = 0.5 * base * height. In this case, the base of the triangle is 24 ft and the height is 10 ft. Plugging these values into the formula, we get: A = 0.5 * 24 ft * 10 ft = 120 ft². Now, we can calculate the time it will take to paint the wall by dividing the area of the wall by the painter's painting rate: 120 ft² / 300 ft²/hour = 0.4 hours. To convert this time into minutes, we can multiply by 60: 0.4 hours * 60 min/hour = 24 min. Therefore, it will take the house painter 24 minutes to paint the triangular wall.