Question

A triangle is shown. What is the length, in inches, of side A? a=_ in. the numbers are 44 and a while the angle is 30.

Answer 1

I’m missing the picture, so I don’t know which side the 44 corresponds to (hypotenuse, opposite, or adjacent to the 30°). Which of these matches your diagram? You can also upload the image.

Here are the common interpretations and the corresponding answers:

- If the triangle is right and 44 is the hypotenuse and a is the side opposite the 30° angle:
a = 44·sin(30°) = 44·0.5 = 22 in.

- If the triangle is right and 44 is the hypotenuse and a is the side adjacent to the 30° angle:
a = 44·cos(30°) = 44·(√3/2) = 22√3 ≈ 38.105 in.

- If the triangle is right and 44 is the side adjacent to the 30° angle and a is the side opposite that angle:
a = 44·tan(30°) = 44/√3 ≈ 25.393 in.

- If 44 is the side opposite the 30° angle and a is the hypotenuse:
a = 44 / sin(30°) = 88 in.

If you tell me which side 44 is or upload the diagram, I’ll give the exact value you need.