Triangle def contains right angle e. if angle d measures 55° and its opposite side measures 7.6 units, what is the measure of side df? round your answer to the nearest hundredth. 5.34 units 6.38 units 9.06 units 9.28 units

DF=9.28 units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The sine of angle of 55 degrees is equal to divide the opposite side to the angle of 55 degrees by the hypotenuse

so

sin(55°)=EF/DF

where

EF is the side opposite to the amgle of 55 degrees

DF is the hypotenuse

we have

EF=7.6 units

substitute

sin(55°)=7.6/DF

DF=7.6/sin(55°)

DF=9.28 units

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