9514 1404 393
Answer:
8.2 feet
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are ...
1 : √3 : 2
For your triangle, the shortest side is 4.1 feet, and you want to know the longest side. That length is 2 times the length of the shortest side, so is ...
glass length = 2×4.1 ft = 8.2 ft
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Alternate solution
From the definitions of the trig ratios, you know that ...
Sin = Opposite/Hypotenuse
Then ...
Hypotenuse = Opposite/Sin
length of glass = (4.1 ft)/sin(30°) = (4.1 ft)/0.5
length of glass = 8.2 ft
