Question

What is the length of SU? Round to the nearest tenth.

Answer 1

SU = 3.5

Explanation:

We have the triangle 30° - 60° - 90°.

Right triangles with 30-60-90 angles will have their ratio of the sides as

1 : √3 : 2 (look at the picture).

We have:

SR : SU : RU = 1 : √3 : 2

Therefore RU = 2SR and SU = SR√3.

We have RU = 4. Substitute:

2SR = 4 divide both sides by 2

SR = 2

SU = 2√3 ≈ 2(1.73) = 3.5