Answer:
Hypotenuse = 14 inches
Adjacent = 12.12 inches
Explanation:
Using SOH, CAH TOA Method
According to SOH
Sin(theta) = Opposite/Hypotenuse
Given theta = 30°
Opposite = 7 inches
Sin30° = 7/Hypotenuse
Hypotenuse = 7/Sin30°
Hypotenuse = 7/0.5
Hypotenuse = 14 inches
The other leg will be the adjacent saying x using Pythagoras Theorem to get x
Hypotenuse^2 = Opposite^2 + Adjacent^2
14^2 = 7^2 + x^2
x^2 = 14^2 - 7^2
x^2 = 196 - 49
x^2 = 147
x = sqrt of 147
x = 12.12 inches