A placekicker is about to kick a field goal. The ball is 20.4 m from the goalpost. The ball is kicked with an initial velocity of 23.4 m/s at an angle above the ground. Between what two angles, and will the ball clear the 2.57-m-high crossbar? Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful: sec 0-1/(cos) and sec²0-1+tan²8) (a) Number (b) Number i Units Units

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A placekicker is about to kick a field goal. The ball is 20.4 m from the goalpost. The ball is kicked with an initial velocity of 23.4 m/s at an
angle above the ground. Between what two angles, 8₁ and ₂, will the ball clear the 2.57-m-high crossbar? Give your answers as (a)
the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful:
sec 0-1/(cos) and sec²0-1+tan²8.)
(a) Number i
(b) Number i
Units
Units
Transcribed Image Text:A placekicker is about to kick a field goal. The ball is 20.4 m from the goalpost. The ball is kicked with an initial velocity of 23.4 m/s at an angle above the ground. Between what two angles, 8₁ and ₂, will the ball clear the 2.57-m-high crossbar? Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful: sec 0-1/(cos) and sec²0-1+tan²8.) (a) Number i (b) Number i Units Units
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