Question

I'm sorry to ask again, but I need help with one more question.

Answer 1

@e.mccormick

Answer 2

OK. So, which trig ratio do you think you need?

Answer 3

the one we used last time. a^2*b^2*c^2?

Answer 4

That was the Pythagorean Theorem we used because of how it relates to right triangles. This time you need sine, cosine, or tangent.

Ever heard SOH CAH TOA?

Answer 5

No. I haven't heard of it.

Answer 6

Can you just help me solve it as simple as possible?

Answer 7

If you can remember to soak a toe you can remember the basic three trig ratios.

Phonetically:

SOH Soa
CAH k a
TOA toe

So, how does that phrase relate to trig? By adding = and / to each:

SOH or S=O/H
CAH or C=A/H
TOA or T=O/A

Answer 8

What those ratios are is:

SOH or Sine = Opposite side / Hypotenuse
CAH or Cosine =Adjacent side / Hypotenuse
TOA or Tangent = Opposite side / Adjacent side

So, all you need to do is pick what side and angle you have and are looking for.

Answer 9

I'm so confused lol.

Answer 10

OK, so, you have this:

Answer 11

Right.

Answer 12

So you have an angle. Now, the 75 ft one, is that the opposite, adjacent, or hypotenuse side?

Answer 13

Hypotenuse?

Answer 14

Nope. Hypotenuse is always the one opposite the 90.

Answer 15

Oh, then would it be adjacent?

Answer 16

Yes! Because it is right next to the angle it is adj.

Now, what you want is the height.

So what of the triangle side is that? You know it is not adjacent. So it can only be opposite the angle or the hypotenuse.

Answer 17

It's opposite.

Answer 18

Wait, are we talking about the 75 one? Or is the 75 one adjacent?

Answer 19

We were talking about the height the second time. The 75 was adj.

OK! Now we go back to those three rules:

SOH or Sine of the angle = Opposite side / Hypotenuse
CAH or Cosine of the angle =Adjacent side / Hypotenuse
TOA or Tangent of the angle = Opposite side / Adjacent side

Which one of the three rules has an angle, an opposite, and an adjacent? That is the rule you need to plug in the 64 degree angle and 75 foot adjacent side into. Then solve for the opposite.

Answer 20

So, I'm guessing that the 64 part is opposite?

Answer 21

64 is the measure if the angle.

Answer 22

The opposite is the unknown side, the height of the building in this case.

Answer 23

Ohh okay. So how do we determine what the answer is then?

Answer 24

Well, you have an angle, an adjacent, and an opposite. So which of the three rules uses those?

HINT: We did NOT use the hypotenuse, so if it has the hypotenuse, it is the wrong trig ratio!

Answer 25

We use the TOA???

Answer 26

Exactly! So you just plug in the numbers you have and solve for the unknown (opposite) side!

Answer 27

What would the equation look like?

Answer 28

Tangent of the angle = Opposite side / Adjacent side

It is that, but with some parts replaced with numbers.

Tangent(angle#) = Opposite side / (Adjacent side's length)

Answer 29

So would we do 75/64? Or 64/75?

Answer 30

Neither. You know the angle and a side. You do not know the opposite side.

Answer 31

So, how would I solve then? Can you give it to me in a simple form/answer?

Answer 32

See where I marked with ( )? Those are the parts that need numbers.

Answer 33

I know, but I'm confused as in how to solve it.

Answer 34

Well, try writing out the equation again by putting the angle on the left of the = and the side you know on the proper part of the right.

Answer 35

Could you give me numbers to work with though? It makes it a little easier for me to understand when it's like that.

Answer 36

You have them. They are on the picture. \(64^\circ\) angle and 75 foot adjacent side.

Answer 37

I know, but what am I supposed to do with them?

Answer 38

Put them in the equation then sove for the unknown.

Answer 39

What equation

Answer 40

Tangent(angle#) = Opposite side / (Adjacent side's length)

Answer 41

So, tangent (angle 64)=64/(75)?

Answer 42

You do not know the opposite side:

tangent(64)=Opposite/(75)

Answer 43

alright, so what do i do with that equation