Question

Help me please

Answer 1

Do you know trig? which of SOH CAH TOA should you use ?

Answer 2

not sure

Answer 3

there are 3 sides to a right triangle, named according to the angle we pick.
opposite, adjacent and hypotenuse

what sides should we use ... based on the angle labeled 29 degrees ?

Answer 4

ajcent

Answer 5

the adjacent side is labeled 27
what side do you have to find ?

Answer 6

im not sure the x side?

Answer 7

Definitely they want you to find "x" (x for unknown)
what side is that (using the angle labeled 29º)
you have 2 choices: opposite or hypotenuse
(and the hypotenuse is *always* the long side opposite the 90 degree angle)

Answer 8

opposite?

Answer 9

yes opposite.

so of the 3 sides, you will be using opposite and adjacent (or O and A in short form)
which of the 3
SOH CAH TOA

use O and A ?

Answer 10

ok

Answer 11

which of the 3
SOH CAH TOA

use O and A ?

Answer 12

SOH?

Answer 13

SOH uses O and H (opposite and hypotenuse)
you want O and A. Try again:

which of the 3
SOH CAH TOA

use O and A ?

Answer 14

toa

Answer 15

and what does the T stand for in TOA ?

Answer 16

it is one of sin, cos or tan

Answer 17

tan

Answer 18

yes.

so far you figured out the sides you will use are opposite and adjacent
and then because TOA uses O and A, you know you want to use tangent.

TOA is short for
\[ \tan(A) = \frac{opp}{adj} \]

fill in the parts we know: the angle (the A) is 29 degrees
opp is x
adj is 27

can you do that ?

Answer 19

yes gimmie a second

Answer 20

Tan=29= x/27

Answer 21

yes, but just
Tan(29) = x/ 27

(the first = does not belong there)

Answer 22

we want to find x, so we want x "by itself".
multiply both sides by 27, like this
\[ 27 \tan(29) = \frac{x}{27}\cdot 27 \]

Answer 23

we multiply both sides by 27, because on the right side 27/27 is 1 and we get
\[ 27 \tan(29)= x \]

Answer 24

now you need a calculator to find the answer. Can you do that ?