The angle of the ladder inclined with respect to the horizontal after being moved a distance of 0.82 m closer to the building is 53.84°
cos θ = Adjacent side / Hypotenuse
θ = 47°
Hypotenuse = Length of ladder = 8.5 m
cos 47° = Adjacent side / 8.5
Adjacent side = Initial distance of base of ladder from the building = 5.8 m
Adjacent side 2 = Final distance of base of ladder from the building
Adjacent side 2 = 5.8 - 0.82 = 4.98 m
cos θ = Adjacent side 2 / Hypotenuse
cos θ = 4.98 / 8.5 = 0.59
θ = ( 0.59 )
θ = 53.84°
The formula used above is one of trigonometric ratios. Trigonometric ratios can used only in a right angled triangle where one of the angles in at 90 degrees and the other two angles are less than 90 degrees.
Therefore, the angle of the ladder inclined with respect to the horizontal after being moved is 53.84°
To know more about trigonometric ratios
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To solve the problem it is necessary to apply the concepts related to Byle's Law and Avogadro's Law.
The ideal gas equation would help us find the final solution to the problem, defined by
Where,
T= Temperature of the gas
R = Universal as constant
n = number of moles
V = Volume
P = Pressure
For our case we have that the mass of Zn is 2.2g in moles would be
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We know that 1 mole of hydrogen gas is proceed by 1 mole of zinc and the result is , then Hydrogen can produce the same quantity,
Applying the previous equation we have that
Therefore the volume of hydrogen gas is collected is 0.829L
Answer:
Explanation 118 = (1/2) * 0.15 * v² 118 = 0.075 * v² v² = 1573.33 m/s ... since KE = m/2*V^2 , then : V = √2KE/m = √20*118/1.5 = 39.67 m//sec ( 142.8 km/h ; 88.75 mph).:
Answer
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Explanation