A ladder 15 metres long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, find the height of the wall
Solution:
Consider the length of the ladder = 15 m (Hypotenuse)
From the figure
Angle between the ladder and the wall ∠BCA = 60°
Angle between ladder and the ground ∠CAB = 90° - 60° = 30°
We know that
BC is the height of the wall
sin 30° = BC/15
1/2 = BC/15
So we get
BC = 15/2
BC = 7.5 m
Therefore, the height of the wall is 7.5 m.
✦ Try This: A ladder of length 30m is placed against a wall such that it just reaches the top of the 15m high wall. At what angle is the ladder inclined to the ground?
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 8
NCERT Exemplar Class 10 Maths Exercise 8.3 Problem 10
A ladder 15 metres long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, find the height of the wall
Summary:
A ladder 15 metres long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, the height of the wall is 7.5 m
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