A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of ladder is 2 m away from the wall, then the length of the ladder ( in metres) is
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We are given:
– The ladder makes an angle of 60° with the ground.
– The distance from the foot of the ladder to the wall is 2 m.
Using the cosine function:
cosθ = (Adjacent side) / (Hypotenuse),
where θ = 60°, Adjacent side = 2 m, and Hypotenuse = Length of the ladder (L).
Substitute the values:
cos60° = 2 / L.
From trigonometric values, cos60° = 1/2:
1/2 = 2 / L.
Solve for L:
L = 2 × 2 = 4.
This question related to Chapter 9 Mathematics Class 10th NCERT. From the Chapter 9 Applications of Trigonometry. Give answer according to your understanding.
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