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:
≈ 35.1 ft
Step-by-step explanation:
The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°
Using the cosine ratio, with l being the length of the ladder.
cos70° = =
( multiply both sides by l )
l × cos70° = 12 ( divide both sides by cos70° )
l = ≈ 35.1 ( to the nearest tenth )
The ladder is approx 35.1 ft long