Answer:
The answer to your question is 20.92 m
Explanation:
Data
m∠A = 35°
Opposite leg = 12 m
hypotenuse = ?
Process
To solve this problem use trigonometric functions. We must look for a trigonometric function that relates the Opposite side and the hypotenuse.
sin Ф = Opposite side /hypotenuse
cosФ = Adjacent side/ hypotenuse
tan Ф = Opposite side/hypotenuse
The trigonometric function that relates the Opposite side and the hypotenuse is sine.
-Solve for hypotenuse
hypotenuse = Opposite side / sin Ф
-Substitution
hypotenuse = 12 / sin 35
-Simplification
hypotenuse = 12/0.57
-Result
hypotenuse = 20.92 m