Question

In ADEF, the measure of ZF=90°, DF = 40, ED = 41, and FE = 9. What ratio

represents the secant of ZE?
E
41
9
D
40

Answer 1

sec(∠F) =
`(41)/(9)`

Explanation:

In triangle EFD,

m∠F = 90°

Adjacent side of ∠E = EF = 9 units

Opposite side of ∠E = DF = 40 units

Hypotenuse = DE = 41 units

For secant of ∠E ,

sec(∠E) =
`\frac{\text{Hypotenuse}}{\text{Adjacent side}}`

=
`(41)/(9)`

Therefore,
`(41)/(9)` is the ratio of secant of ∠F.