Question
A 10 m long ladder leaning against a wall reaches a height of 8 m up the wall. What angle does the bottom of the ladder make with the ground? Round to the nearest degree.
Answers
GPT 3.5
To find the angle that the ladder makes with the ground, we can use trigonometry.
Let's denote the angle as θ. The opposite side of the triangle is 8 meters (height up the wall), the adjacent side is 10 meters (length of the ladder), and the hypotenuse is the ladder itself.
Using the cosine function:
cos(θ) = adjacent/hypotenuse
cos(θ) = 10/10
cos(θ) = 1
θ = arccos(1)
θ = 0 degrees
Therefore, the angle that the bottom of the ladder makes with the ground is 0 degrees.
Let's denote the angle as θ. The opposite side of the triangle is 8 meters (height up the wall), the adjacent side is 10 meters (length of the ladder), and the hypotenuse is the ladder itself.
Using the cosine function:
cos(θ) = adjacent/hypotenuse
cos(θ) = 10/10
cos(θ) = 1
θ = arccos(1)
θ = 0 degrees
Therefore, the angle that the bottom of the ladder makes with the ground is 0 degrees.