2. Elizabeth drove 30 miles to the south, then drove 50 miles to the east. Draw a
1 answer:
Answer: R = 58.3 miles
Explanation:
Displacement is a vector quantity. That is, it has both magnitude and direction.
As Elizabeth drove 30 miles to the south, then drove 50 miles to the east. The resultant displacement can be achieved by using pythagorean theorem
R^2 = 30^2 + 50^2
R^2 = 900 + 2500
R^2 = 3400
R = sqrt(3400)
R = 58.3 miles
The vector diagram that shows her resultant displacement is attached as a file.
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Answer:
The angle of incidence when the reflected ray is perpendicular to the incident ray = 45°
Explanation:
According to Snell's Law,
n₁ sin θ₁ = n₂ sin θ₂
When the angle between the incident ray and reflected ray is 90°, the angle of incidence is θ₁ and the angle of reflection, θ₂ = 90° - θ₁ and the index of refraction in the Snell's Law for both media would be the same, n₁ = n₂ = n
n sin θ₁ = n sin (90° - θ₁)
Note that from trigonometric relations,
Sin (90° - θ₁) = cos θ₁
n sin θ₁ = n cos θ₁
(sin θ₁)/(cos θ₁) = 1
tan θ₁ = 1
θ₁ = arctan 1 = 45°
Hope this Helps!!!
