The measure of the two angles in a triangle are shown in the diagram Which equation can be used to find the value of x?
2 answers:
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Answer:
feet
Step-by-step explanation:
In a 30-60-90 triangle, the ratios of the side lengths of the triangle is
Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.
First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:
Solving for x, we find that
So the length of the original pole would be feet
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