Answer:
∅=6°
Step-by-step explanation:
we have that the distance from the edge of the cliff to the lake is 48 feet, and when the stone is thrown into the lake it collides with the water 5 feet from the base of the cliff so you must find the distance that the stone travels from the edge of the sewer up to 5 feet beyond its base (hypotenuse) and then the angle that forms it (slope)
Hypotenuse (c)
[tex]c^{2}=a^{2}+b^{2}\\c^{2}=48ft^{2}+5ft^{2}\\c^{2}=2304ft^{2} +25ft^{2}=2329ft^{2}\\c=\sqrt{2329ft^{2}}=48.25ft[/tex]:
Slope ∅
Sin∅ = 5ft/48.25ft = 0.1036
∅=arcsin(0.1036) ≅ 5.9°, but how should we round to the nearest integer
, then:
∅=6°
