What is the tallest wooden roller coaster in the world

Asked by admin @ in Mathematics viewed by 286 People

The Son of Beast roller coaster at Kings Island in Cincinnati, Ohio is the tallest wooden roller coaster in the world. The highest point of the coaster is 66 m high. What is the angle of elevation, to the nearest degree, to the top of the coaster from a point on the ground 72 m *

Answered by admin @


Answer:

43 °

Step-by-step explanation:

In the statement they mention the height and in addition to that the horizontal distance where a right triangle is formed, therefore we can apply a trigonometric ratio to calculate the angle, in this case it is the tangent, which relates the two legs of the angle:

Tan A ° = opposite / adjacent

opposite = 66, adjacent = 72, replacing we have:

Tan A ° = 66/72 = 0.9166

A ° = arc tan (0.9166)

A ° = 42.51

That is, the angle of elevation is 43 °


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