Question

FERRIS WHEEL The Ferris wheel at an amusement park has a radius of 10.2 meters. A rider, who is sitting level with the center of the Ferris wheel, is 13.1 meters above the ground. At what height above the ground is the rider when the wheel rotates another 140°? Round to the nearest tenth if necessary.

Answer 1

Answer:

19.7 m

Step-by-step explanation:

Draw a circle to represent the ferris wheel with a 10.2 m radius. Draw a horizontal line through the circle center horizontal to the ground (at 13.1 m). Now draw a line from the center of the circle (ferris wheel) upward at 140 degrees until you reach the edge of the circle. Draw a line down from that point to the horizontal line at This is your right triangle to solve.

Hypotenuse is 10.2 m (radius of circle)

The angle of the triangle the supplementary angle of 140 degrees. 180-140=40 degrees

sin 40 degrees=rise /radius=rise/10.2

sin 40=0.6428=rise/10.2

rise=10.2(0.6428)

rise=6.6 m

13.1+6.6=19.7 m