Question

the angle of elevation for the first Hill of a roller coaster is 55°. If the length of the track from the beginning to the highest point is 98 ft what is the approximate height of the roller coaster when it reached the top of the first Hill? options, 80 ft, 98 ft, 56 ft, 43 ft

Answer 1

Using trigonometric property in the figure,

`\sin \theta=\frac{opposite\text{ side}}{hypotenuse}`
`\begin{gathered} \sin \text{ }55^(\circ)=\frac{h}{98\text{ }} \\ h=98*\sin 55^(\circ) \\ \cong80\text{ ft} \end{gathered}`

Here, h is the height of the hill.

Therefore, the approximate height of the of the roller coaster when it reached the top of the first Hill is 80 ft.

Option A is the answer.