Question

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 *

Answer 1

43 °

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 °