A zip-line connects the top of a 40-foot platform to a point on the ground 75 feet away. What is the length of the zip-line cable?
A 75 feet
B 80 feet
C 85 feet
D 95 feet
Explanation
📌 Step 1: Identify the right triangle
The platform height (40 ft), ground distance (75 ft), and cable form a right triangle.
📌 Step 2: Apply the Pythagorean Theorem
cable² = 40² + 75²
cable² = 1600 + 5625
cable² = 7225
📌 Step 3: Solve
cable = √7225 = 85 ft
💡 Tip: This is a multiple of the 8-15-17 Pythagorean triple (×5 = 40-75-85).