Question

Could someone help me with 5 Geometry questions? I will fan and medal :)

Answer 1

1. Given the triangle below, which of the following is a correct statement?

\[\cot <B=\frac{ 6 }{ 5 }\]

\[\csc <C=\frac{ 3 }{ 4 }\]

\[\cot <C=\frac{ 8 }{ 5 }\]

\[\csc <B=\frac{ 4 }{ 3 }\]

Answer 2

Do you still remember your inverse trigonometric ratios?

Answer 3

Yes.
csc= hypotenuse/opposite
sec=hypotenuse/adjacent
cot=adjacent/opposite

Answer 4

okay cool :)
So from there, it is just trial and error as you see which of A,B,C or D is correct ^^

Answer 5

I'm kind of confused though, the csc options are 3/4 or 4/3 but where are they getting those numbers from?

Answer 6

There are gotten, by interpreting the diagram :)
Here I'll explain how to get the correct one !

Answer 7

I think it's the last option

Answer 8

Yeah it is the last one !

Answer 9

I just realized that 8 is the hypotenuse and half of 8 is 4, and the opposite is 6 and half of 6 is 3 :)

Answer 10

yeah, simplification is the way to go ^^

Answer 11

I have 4 more so let me post the next one.

2. 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.

Answer 12

Ah no problem !

Answer 13

So do you know how to start the next one?
Do you remember your trig formulas for both Right angle and non-right angle triangles ?

Answer 14

No not off the top of my head

Answer 15

Ah okay, I'll help out !
Sine Rule for non-right angle triangles is
SinA = SinB
a b

Answer 16

Alternatively, when you forget next time, you can quickly search via the internet for the formulas : )

Answer 17

In this particular question, we are working with the formula
SinA = SinB
a b

Answer 18

I think I got it, one sec.

Answer 19

Alright cool ~

Answer 20

41.51?

Answer 21

Yes !
that is correct

Answer 22

Yay!!
3. In △PQR, find the measure of ∡P.
A. 30.4 degrees
B. 35.9 degrees
C. 54.1 degrees
D. 59.6 degrees

Answer 23

Alright, so now we are working with a right angle triangle, so the formulas we resort to are SOHCAHTOA

Answer 24

Which of the standard trig ratios do you think it is ?

Answer 25

Do I use the tangent function ?

Answer 26

Right again mate ^^

Answer 27

Okay I got 30.4

Answer 28

Correct !

Answer 29

4. Find the value of the csc 40° using your calculator.
This one is pretty easy lol
I got 1.556

Answer 30

yeap, way ahead of me haha, i just checked and your correct :)

Answer 31

5. In △JKL, solve for x.

A. 74.89
B. 30.29
C. 38.16
D. 66.73

Answer 32

By the way, do you sometimes forget your inverse trig ratios? Because I got a neat trick that you can't forget them :)

Answer 33

Yeah I do sometimes!

Answer 34

The trick is to remember every 'third' letter of the inverse function
For example
Se'c' = Cos
Co's'ec = Sin
Co't' = Tan

Answer 35

Oh wow I didn't even realize that!

Answer 36

Anyways, back on track :)
I've got a solution for our next question ^^

Answer 37

Yeah haha, its a hidden trick that I picked up a while back ~

Answer 38

Do I use the cosine function?

Answer 39

yeah that's correct !

Answer 40

I got 38.16

Answer 41

Yes that correct !

Answer 42

Thank you so much, you were so helpful!

Answer 43

Glad to be of such help, anytime !