A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30 with the ground. How high on the wall does the ladder reach?
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Answer:
Step-by-step explanation:
The ladder against a wall forms a right angled triangle.
In this case we will apply trigonometric ratios.
The wall represents the height of the right angled triangle whereas the ladder represents the hypotenuse of the right angles triangle.
The distance between the ladder and the wall is the base.
The height(wall) is opposite to the angle.
In this case we will use Sin.
Sin theta = opposite / hypotenuse
Opposite = h
Sin 30 = h/20
h = 20 Sin 30 = 9.07980m
= 9.07980 m
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