Question

Find the length of side xx to the nearest tenth.
30°
60°
x
5
give me the single correct answer

Answer 1

I don't have the diagram, so I need to know which side is the 5 and which is x (opposite which angle). Here are the common 30°–60°–90° cases (nearest tenth):

- If 5 is the hypotenuse:
- x opposite 30° (short leg) = 5/2 = 2.5
- x opposite 60° (long leg) = (5√3)/2 ≈ 4.3

- If 5 is the short leg (opposite 30°):
- x opposite 60° (long leg) = 5√3 ≈ 8.7
- x = hypotenuse = 10.0

- If 5 is the long leg (opposite 60°):
- x opposite 30° (short leg) = 5/√3 ≈ 2.9
- x = hypotenuse = 2·(5/√3) ≈ 5.8

Tell me which side in your diagram is the 5 (or which angle x is opposite), and I’ll give the single correct value.