Answer:
The answer to your question is 4.5
Step-by-step explanation:
Data
hypotenuse = h = 6
angle = α = 42°
adjacent side = DE
Process
Use trigonometric functions to solve this problem
1.- The trigonometric function that relates the adjacent side and the hypotenuse is cosine
Cosα = [tex]\frac{adjacent side}{hypotenuse}[/tex]
Solve for adjacent side = DE
DE = hypotenuse x cos α
Substitution
DE = 6 x cos 42
Simplification
DE = 6(0.74)
Result
DE = 4.5
