Question

Use the image to answer the question.A right triangle with the right angle on the bottom left. The hypotenuse slants downward from left to right. The bottom right angle is labeled 12 degrees. The vertical leg is labeled 500 feet. An outline of a landing airplane is above the top left angle.An airplane is descending onto a runway. If the airplane is making a 12° angle with the horizontal line and its altitude is 500 feet, what is the horizontal distance between the airplane and the point it reaches the ground? Round the answer to the nearest foot.(1 point)932 feet2,352 feet511 feet2,405 feet

Answer 1

Let the horizontal distance be d. For the 12° angle, tan(12°) = opposite/adjacent = 500/d, so d = 500 / tan(12°) ≈ 2352 ft.

Answer: 2,352 feet.