If the line of sight and angle of elevation is given, then which trigonometric ratio is used to find the distance from the foot of the building?
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cosine is the correct answer
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The cosine trigonometric ratio will be used to find the distance from the foot of the building.
- Consider the point of observation to be A, the line of sight to be AC, and the foot of the building to be B.
- Then in ΔABC, ∠BAC = θ will be the angle of elevation. And we need to find the value of AB.
- If we use the cosine ratio for θ, cosθ = AB/AC. Since the value of AC and θ is given to us, we can easily find the value of AB.
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