Question

Presume that a ladder is put upright against a wall. Let variables length and angle store the length of the ladder and the angle that it forms with the ground as it leans against the wall. Write a Python program to compute the height reached by the ladder on the wall for the following values of length and angle:

Accepted Answer

(outputs) a) Height reached: 15.45 feet b) Height reached: 0.0 feet c) Height reached: 16.97 feet d) Height reached: 23.64 feet (program) import math a) 16 feet and 75 degrees length = 16 angle = 75 angle rad = math.radians(angle) height = length math.sin(angle rad) print('a) Height reached:', round(height, 2), 'feet') b) 20 feet and 0 degrees length = 20 angle = 0 angle rad = math.radians(angle) height = length math.sin(angle rad) print('b) Height reached:', round(height, 2), 'feet') c) 24 feet and 45 degrees length = 24 angle = 45 angle rad = math.radians(angle) height = length math.sin(angle rad) print('c) Height reached:', round(height, 2), 'feet') d) 24 feet and 80 degrees length = 24 angle = 80 angle rad = math.radians(angle) height = length math.sin(angle rad) print('d) Height reached:', round(height, 2), 'feet') — This question applies trigonometry concepts to calculate the height reached by a ladder leaning against a wall. The ladder forms the hypotenuse of a right triangle, and the height on the wall is calculated using the formula: height = length × sin(angle). Python's math.sin() function requires angles in radians, so math.radians() is used to convert degrees to radians before calculation.

Explanation

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