Answer: 2.5 feet
Step-by-step explanation:
A 30-60-90 triangle is a special right triangle in which the sides all have a fixed relationship with each other. We only need to know one side to calculate the other two.
Make the side opposite the 30° angle x, then
- The side opposite the 60° angle is x*√3
- The side opposite the 90° angle is 2x
The side opposite the right angle is 5ft, therefore:
2x = 5
x = 2.5ft, the side opposite the 30° angle
Then x*√3 is the third side:
(2.5)*(1.442) = 3.605 feet
