how long should the ladder be if they want to use all the canle they have? use the law of sines to find the length.
1 answer:
Answer: L = 36 feet approximately
The more accurate value is 35.9547644 feet, but this approximate value isn't exact either.
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Explanation:
Ignore the vertical line and any byproducts of it.
Refer to the diagram below. Note that the 95 degree angle is from 15+80 = 95.
We can use the law of sines like so
sin(A)/a = sin(B)/b
sin(75)/200 = sin(10)/L
L*sin(75) = 200*sin(10)
L = 200*sin(10)/sin(75)
L = 35.9547644 which is approximate.
This rounds to roughly 36 feet when rounding to the nearest whole number.
Side note: We never use angle C = 95, and its opposite side.
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Answer:
The answer to your question is Perimeter = 287.3 in
Step-by-step explanation:
AB = 90 in
BC = 80 in
∠B = 50
Perimeter = ?
Process
1.- We need to find AC using Law of sines
A = 42.9 ≈ 43
The sum of the internal angles in a triangle equals 180°
A + B + C = 180°
43 + B + 50 = 180
B = 180 - 43 - 50
B = 87°
AC = 117.3
2.- Find the perimeter
Perimeter = AB + BC + AC
Perimeter = 90 + 80 + 117.3
Perimeter = 287.3 in