2 Answers

Waleed Almadanat · Answer 1 · 2021-10-14T22:31:07+0000

Answer:

x = 6.4

Explanation:

Notice that since you are dealing with a right angle triangle, you can use the trig function tangent, to solve for "x".

Notice that "x" is the side "opposite" to angle 30 degrees, and the side adjacent to that angle has a 11 units measure.

The tangent function relates this two quantities the following way:

$tan(30^o)=(opposite)/(adjacent) \\tan(30^o)=(x)/(11) \\11*\,tan(30^o)=x\\x= 6.35$

So rounding this answer to one decimal gives: x = 6.4

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