Answer:
θ = Tan^-1(456 / 2640)
Step-by-step explanation:
Distance between Isabella and base of the roller coaster = 2640 = opposite
Height = 456 = adjacent
Using Pythagoras,
The angle of elevation could be obtained taking the appropriate cosine, tangent or Sine of the ratio of the two. Sides Given.
Using the appropriate rule :
Tan θ = opposite / Adjacent
Hence,
Tan θ = 456 / 2640
Where, θ = angle of elevation
θ = Tan^-1(456 / 2640)