# trig

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A pendulum is 18 feet long. Its central angle is 44º. The pendulum makes one back and forth swing every 12 seconds. Each minute, the pendulum swings _____ feet. (Answer to the nearest foot.)

• trig -

s = rθ = 18(44*pi/180) = 13.82ft in one arc

It makes 10 (5 back and forth) swings every minute.

Total travel: 138 ft

• Algebra 2 -

s=18(11π/45)
s≈13.82 ft/sec

60sec÷12sec= 5sec
5×2=10
10×13.82=138.2

The pendulum travels 138 feet each minute

(44÷1) × (π÷180) = (11π÷45)

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