In triangle def, df=28 and angle f=45. find the length of a leg rounded to the nearest tenth. 3.7 28.0 19.8 14.0

Option C is correct.

The length of a leg rounded to the nearest tenth is, 19.8.

Step-by-step explanation:

In triangle DEF,

Given: DF =28 cm and

Draw a perpendicular line from the vertex D to a point G on EF.

Using trigonometric ratio:

then;

from the figure given below, we have,

Substitute the value of DF = 28 cm, we have

or

or

⇒    [ Use:]

Therefore, the length of a leg (DG) rounded to the nearest tenth is, 19.8.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent