A 12 ft ladder leaning againist a house make a 64 degree angle with the ground will the ladder reach a window till that is 10.5
ft up from the base of the house?
1 answer:
In triangle ABC
AC = hypotenuse = length of ladder = 12 ft
BC = opposite = height on the wall of house = h
θ = angle of the ladder with the horizontal = 64 deg
using trigonometric formula
Sinθ = opposite/hypotenuse
Sinθ = BC/AC
Sinθ = h/L
Sin64 = h/12
h = 12 Sin64
h = 10.8 ft
since h > 10.5 ft (height of the window)
hence the ladder reach well above the window
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Keywords: addition, division
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