Question

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

Answer 1

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

`\sin 60=(a)/(20)`

then, a is given by

`a=20\cdot\sin 60`

since sin60=0.866, then a is equal to

`a=20(0.866)`

therefore, the answer is a = 50.23.