SOLUTION: In ΔDEF, the measure of ∠F=90°, the measure of ∠E=83°, and EF = 79 feet. What would the length of DE be to the nearest tenth of a foot?

Algebra ->  Triangles -> SOLUTION: In ΔDEF, the measure of ∠F=90°, the measure of ∠E=83°, and EF = 79 feet. What would the length of DE be to the nearest tenth of a foot?      Log On


   



Question 1030144: In ΔDEF, the measure of ∠F=90°, the measure of ∠E=83°, and EF = 79 feet. What would the length of DE be to the nearest tenth of a foot?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Triangle DEF is a right
angled triangle with ∠F = 90 degrees
and ∠E = 83 degrees.
Using Cosine ratio:
Cos(83) = adjacent/hypotenuse
Cos(83) = 79/ hypotenuse
Hypotenuse (DE) = 79/cos(83)
DE = 648.2 feet
Hope this helps :-)