Answered

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given a special right triangle with angle measuring 30-60-90, what is the length of the side opposite 60 if the side opposite 90 is 20. you can write your answer in decimal form

Sagot :

Lets draw a picture:

where a is the side opposide to 60 and b is the side opposide to 30.

Since we have a right triangle, we can apply a trigonometric function. For instance, if we apply sine function, we get

[tex]\sin 60=\frac{a}{20}[/tex]

then, a is given by

[tex]a=20\cdot\sin 60[/tex]

since sin60=0.866, then a is equal to

[tex]a=20(0.866)[/tex]

therefore, the answer is a = 50.23.

View image KyiahD236499
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