Answer :
Final answer:
Far the bottom of a 2m ladder propped at a 23-degree angle from the wall, use the cosine function. The calculated distance is approximately 1.841m, making the closest provided option 1.7m. Therefore the correct option is b.
Explanation:
To solve this, we can use the trigonometric function cosine (cos), which is defined as adjacent/hypotenuse in a right-angled triangle. Here, 'adjacent' is the distance from the wall to the bottom of the ladder we are trying to find, and 'hypotenuse' is the length of the ladder.
Therefore, the formula looks like: cos(23°) = adjacent/2m
To find the adjacent side (distance from the wall), we rearrange this formula: adjacent = 2m * cos(23°).
Using a calculator, cos(23°) ≈ 0.9205. Thus, the distance from the wall = 2m * 0.9205 = 1.841m.
From the options given, 1.7m (Option B) is the closest to 1.841m. Therefore, the bottom of the ladder is approximately 1.7m from the wall.
