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Assuming a right triangle (SohCahToa) sin(64) = 6.3/x x = 6.3/sin(64) x = 7.0 m

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Q: A guy wire from the top of the telephone post touches the ground ata point 6.3 meters from the post If the wire and the post form an angle of 64 degrees What is the length of the guy wire?
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A wire from a post touches the ground at a point 6.3 meters from the post and if the the post and a wire form an angle of depression of 64 degrees so what is the length of the wire?

We need to use a little trigonometry to answere this. The sine of an angle in a right angled triangle is given by sine = opposite divided by hyponenuse that is the length of the side opposite the given angle divided by the length of the hypotenuse (or longest side). From that we can obtain that the length of the hypotenuse = opposite divided by sine. The sine is found by using a set of trigonometric tables or a scientific calculator (the majority of computers have a scientific calculator). The sine of 64 degrees is 0.89879, therefore the length of the wire (the hypotenuse) is 6.3 divided by 0.89879 which equals 7.009 metres.


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