A triangular shaped metal plate has a base of 10 feet and a height of 15 feet. What is its area?

To determine the area of a triangle, the formula used is ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ). In this case, the base of the triangular-shaped metal plate is 10 feet, and the height is 15 feet.

Substituting the values into the formula gives:

[ \text{Area} = \frac{1}{2} \times 10 , \text{feet} \times 15 , \text{feet} = \frac{1}{2} \times 150 , \text{square feet} = 75 , \text{square feet} ]

This calculation shows how the area is derived, confirming that the correct answer is 75 square feet. Understanding this area calculation is crucial for applications in crane safety, especially when determining load capacities and ensuring that equipment can safely handle the maximum weight of materials being lifted.