The ladder is placed alonng the wall the foot of the ladder is 1.5m away from the wall.If the length of the ladder is 3m. find the angle makes by the ladder with the ground.
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Given:-
- The ladder is placed alonng the wall the foot of the ladder is 1.5m away from the wall.
- The length of the ladder is 3m.
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To find:-
- The angle makes by the ladder with the ground.
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Solution:-
Let,
- the angle be θ.
⠀
Here,
- Adjacent side of θ = 1.5 m
- Hypotenuse of triangle = 3m
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According to the question,
→ cosθ = 1.5/3
→ cosθ = (3/2)/3
→ cosθ = 3/2 × 1/3
→ cosθ = 1/2
- Substituting, 1/2 = cos60°
→ cosθ = cos60°
- By comparing
→ θ = 60°
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Hence,
- The angle is 60°.
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