In ΔDEF, the measure of ∠F=90°, the measure of ∠D=67°, and FD = 7.4 feet. Find the length of EF to the nearest tenth of a foot.

14.2 ft

Step-by-step explanation:

tan 66° = 32/ FD

FD = 32 / tan 66° = 32 / 2.246 = 14.2

17.4

Step-by-step explanation:

\tan D = \frac{\text{opposite}}{\text{adjacent}}=\frac{x}{7.4}

tanD=

adjacent

opposite

​

=

7.4

x

​

\tan 67=\frac{x}{7.4}

tan67=

7.4

x

​

7.4\tan 67=x

7.4tan67=x

Type into calculator and round to the nearest tenth of a foot.

ddd

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|