To the nearest hundred what is the value of X
2 answers:
ANSWER
EXPLANATION
The given triangle has a right angle.
We were given an acute angle that measures 41°
The hypotenuse of the given right triangle is 55.
Since x is adjacent to the given angle and we also know the hypotenuse, we use the cosine ratio to find x.
Therefore
We round to the nearest hundredth to obtain,
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There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.
We'll do the sine trig. identity, as it is the most effective.
Given an angle '
' in a right triangle, '
' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.
So, for this setup:
Now, we solve for x:
So, answer is 3.4
We'll do the sine trig. identity, as it is the most effective.
Given an angle '
So, for this setup:
Now, we solve for x:
So, answer is 3.4