There were 64 ducks in the beginning
A) No solutions, because the number under the square root symbol in the quadratic equation (b^2 - 4ac) is negative.
B) One solutions, because the number under the square root symbol in the quadratic equation (b^2 - 4ac) is equal to 0.
Given that the slide is 4.3 m long and makes an angle of 31°, then to get how high the slide is above the ground we use trigonometry formula.
sin θ=opposite/hypotenuse
opposite=x=how high the slide is above the ground
hypotenuse=length of the slide=4.3 m
θ=31°
plugging the values in the formula and solving for x we obtain
sin 31=x/4.3
x=4.3×tan 31
x=4.3(0.6009)
x=2.58387
x~2.6 m
Hence we conclude that the top of the slide is approximately 2.6 m from the ground
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