Question

z =

37
39
51

Answer 1

sorry...cant see it

Answer 2

@queenie what about now

Answer 3

i see it...but am not good with sine,cosine,or tangent stuff...sorry

Answer 4

@pooja195 @Preetha @sleepyjess anyone

Answer 5

@rebeccaxhawaii

Answer 6

yes

Answer 7

x is the length of the hypotenuse.
y and z are the lengths of the legs.
You need to find z, the measure of one of the acute angles.
Am I correct till now?

Answer 8

i guess, im not good at these lol

Answer 9

yes i need to find z

Answer 10

Ok.
Look at angle z.
It is an acute angle of a right triangle.
Now look at the two legs of the triangle.
They have lengths 8 and 10.

Answer 11

For angle z, which leg is the adjacent leg, and which leg is the opposite leg?

Answer 12

8 ajacent and opposite 10

Answer 13

Hint:
adjacent means "next to".
opposite means "across from"

Answer 14

Correct.

You only know the lengths of the adjacent and opposite legs. You don't know the length of the hypotenuse.
Now think of sine, cosine, and tangent.
Of those three trig ratios, which one only has the adjacent and opposite legs?

Answer 15

sine?

Answer 16

No.
Have you ever heard of SOHCAHTOA?

Answer 17

SOH:

\(\sin \theta = \dfrac{opp}{hyp} \)

CAH:

\(\cos \theta = \dfrac{adj}{hyp} \)

TOA:

\(\tan \theta = \dfrac{opp}{adj} \)

Answer 18

SOHCAHTOA is a way of remembering which ratio goes with each of the trig functions, sine, cosine and tangent.

S = sine
O = opposite leg
H = hypotenuse
C = cosine
A = adjacent
T = tangent

Answer 19

If you look at the tangent, you see that

\(\tan \theta = \dfrac{opp}{adj} \)

It is the tangent that is a ratio of the opposite leg and the adjacent leg.

Since we know the opposite and the adjacent, we an use the tangent to find angle z.

Answer 20

\(\tan \theta = \dfrac{opp}{adj} \)

\(\tan z = \dfrac{10}{8} \)

\(\tan z = 1.25\)

Now use the inverse tangent function to find z.

Answer 21

Do you understand it?

Answer 22

yes

Answer 23

Great.
Did you find z?