Question

Use △DEF, shown below, to answer the question that follows.

What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below

Answer 1

Please help !

Answer 2

here, we're given angle D, its 49 right ?

so first, go to the D corner of triangle, and figure out, wat are :-
opposite side
adjacent side
hypotenuse

Answer 3

X is the opposite side.
55 is the adjacent side.
I dont know the other one

Answer 4

perfect !
other guy is the hypotenuse, we dont need to knw that also :)

Answer 5

so we knw adjacent side = 55
we're after finding opposite side = X

which trig ratio involves these two sides ?
opposite and adjacent

Answer 6

pick one :-
sin
cos
tan

Answer 7

I think it's tan

Answer 8

yup! tan = opposite / adjacent

Answer 9

\(\large \tan 49 = \frac{X}{55}\)

Answer 10

can u solve X ? :)

Answer 11

Okay so, 55tan(49)

Answer 12

=63.27

Answer 13

perfect ! good job !!

Answer 14

(: Thanks!

Answer 15

Is that the nearest hundredth though?

Answer 16

yup !

63. 27026... rounded to nearest hundreth is 63.27