Find the missing geometric means in this sequence.
1 answer:
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Answer:
<em>x=74.73°</em>
Step-by-step explanation:
<u>Law of cosines</u>
In a general triangle, the law of cosines relates the lengths of the sides of the triangle to the cosine of one of its angles.
The law of cosine is expressed as:
Where a and b are the lengths of two sides of the triangle, x is the angle contained between them, and c is the other side length.
If all side lengths are known, we can solve the above equation for the angle x:
From the image, we must select a and b as the sides adjacent to angle x in any order. Thus a=17, b=22, c=24. Substituting:
Operating:
Using a scientific calculator:
x=74.73°