Question

What is the value of x?

Answer 1

WILL MEDAL AND FAN

Answer 2

You are given teh 45-deg angle.
For the 45-deg angle, is the side 16 the adjacent leg or the opposite leg?

Answer 3

adjacent?

Answer 4

Correct. Adjacent means "next to". The 16 side is next to the 45 deg angle.
The side with no length mentioned is across from the 45-deg angle, so it's the opposite leg.

Answer 5

yes

Answer 6

but what is it?

Answer 7

x i mean

Answer 8

@mathstudent55

Answer 9

OK. We have the adjacent leg and the hypotenuse.
Which trig function, sine, cosine, or tangent, is a ratio of the adjacent leg and the hypotenuse?

Answer 10

Since you have the value of the adjacent side and you are looking for the hypotenuse, use cosine
Cosine = Adjacent/hypotenuse
Using a calculator take the cosine of your given angle 45 degrees
cos(45) = 0.7 = 16/hypotenuse
hypotenuse = 16/0.7 = about 22.6

Answer 11

Do you know SOHCAHTOA?

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

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

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

Answer 12

no i don't

Answer 13

would it be d??

Answer 14

We have the adjacent and the hypotenuse, so we use the cosine.

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

\(\cos 45^o = \dfrac{16}{x} \)

\(x = \dfrac{16}{\cos 45^o} \)

Use a calculator to fond x.
Make sure the calculator is in degree mode.

Answer 15

oh so it would be a?

Answer 16

SOHCAHTOA is a way to memorize the sine, cosine and tangent ratios by using the initials of sin, cos, tan, adj, opp, hyp.