Alice is standing at the top of a carnival slide. One base is 15 m, one base is 20 m, and the height is 16. The angle, in which Alice must slide to the nearest degree is: 61.63°.
Angle
Pythagorean theorem
AC=√AD²+CD²
AC=√16²+15²
AC=√483
AB=√AD²+BD²
AB=√16²+20²
AB=√656
Using law of cosine
BC=√BD²+CD²-2(BD)(CD)(Cos BDC)
BC=√20²+15²-2(20) (15) Cos88°
BC=√604.06
CosФ=AB²+AC²-BC²÷2(AB)(AC)
CosФ=656+483-604.06÷2(√656) (√483)
CosФ=0.475
Hence:
Ф=Cos^-1 0.475=61.63°
Therefore Alice is standing at the top of a carnival slide. One base is 15 m, one base is 20 m, and the height is 16. The angle, , in which Alice must slide to the nearest degree is: 61.63°.
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