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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.

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 class=

Sagot :

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.

View image jimthompson5910
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