Question

Help me out the number inside the triangle is really throwing me off tbh

Answer 1

We are given an angle of 60° and a side of 15 cm.

We are given the opposite and is looking for the hypotenuse so we will use the sine ratio to find x.

sin = opp/hyp

hyp = 15 / sin 60

hyp = 17.32...

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We can also use the tangent ratio to find the adjecent and then use pythagorean to find x.

tan = opp/adj

adj = 15 / tan 60

adj = 8.660.....

8.660....² + 15² = 300²

since the square root of 300 is an irrational number, we have to turn it into a mixed radical.

The answer would be the top one.