Final answer:
To find the distance, d, the taller ladder is from the tree, we can use trigonometry. Using the tangent function, we can solve for d by dividing the tree height by the tangent of the angle involved. The approximate value of d is 28.19 feet.
Step-by-step explanation:
To find the distance, d, the taller ladder is from the tree, we can use trigonometry. In this scenario, we have a right triangle formed by the taller ladder, the tree height, and the distance from the tree. We can use the tangent function to solve for d: tan(40 degrees) = tree height / d. Substituting the given values, we have tan(40 degrees) = 24 / d. Solving for d, we get d = 24 / tan(40 degrees). Using a calculator, the approximate value of d is 28.19 feet.