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There are two cables coming off the top of a building from the same point. Each cable is secured to the ground. The longest cable is 200 ft. It is attached at point M and creates a 32° angle of elevation with the ground. The other cable is attached at point N. If the angle formed between the two cables at the top of the building is 25°, what is the distance between points M and N?
Measure of Ð N =
°

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sqdancefan

Call the point of attachment at the top of the building point T. (Angle T = 25°) The angle N = 180° -32° -25° = 123°. The Law of Sines tells you the relationship ...

... TM/sin(N) = MN/sin(T)

... MN = TM·sin(T)/sin(N) = (200 ft)·sin(25°)/sin(123°)

... MN ≈ 100.8 ft

yqbri

Answer:

N= 123

x= 100.8

Step-by-step explanation:

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