Question

A spectator is viewing the six cars of a roller coaster as it travels down a hill at an amusement park. Which is closest to the total length of the six cars? (G.8c, 1 point) 380 20 ft- O A. 12.3 ft B. 15.8 ft C. 25.6 ft D. 32.5 ft

Answer 1

We have the following:

We can calculate the answer by means of the trigonometric ratio of the sine, as follows

$\sin \theta=\frac{\text{opposite}}{\text{hypotenuse}}$

replacing:

$\begin{gathered} \sin 38=\frac{20}{x} \\ x=\frac{20}{\sin 38} \\ x=32.48 \end{gathered}$

Thefeore, the answer is D. 32.5 ft