A ladder makes an angle of 60 degree with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall then find the length of the ladder
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Answer:
The length of the given ladder is 4 m.
Here, we are given that a ladder makes an angle of 60 degrees with the ground when it is placed against the wall.
The given information can be represented in the form of a figure as shown in the image below.
As shown, AB and AC are the lengths of the wall and the ladder respectively.
Now, as ∠ACB is given to be 60, triangle ABC will be a 30-60-90 triangle.
As per the properties of the 30-60-90 triangle, the ratio of the sides opposite to angles 30, 60, and 90 will be 1: √3: 2
since, the side opposite to 30° is 2, the side opposite to 90° will be = 2 × 2
= 4
⇒ AC = 4 m
Thus, the length of the given ladder will be 4 m.
Learn more about triangles here:
https://brainly.in/question/17424774
Learn more about right-angled triangles here:
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