Finding angles in a right triangle is easy

Question 1

Side note: You must know what the formula SOH CAH TOA is, I made a blog post for this formula and if that doesn’t help you then you can ask a teacher or anyone who knows this for help, you also need a calculator.

Step 1) Find which sides are which and which numbers correspond with them

Step 2) Then find and use the right word for the equation

Step 3) Now you can start with Sin X=3.8/5.0

Step 4) This step is a little hard since you need to use your calculator, you will need to make Sin became a negative so the equation can become X=Sin-1 (3.8/5.0) you probably need help to use the calculator.

Step 5) Once (if you can) figure it out then put the equation in your calculator.

Answer: Your answer should be 49.5

Question 2

Step 1) Do what you did in the first question but use which ever numbers you need

Step 2) Once you have your equation put it in your calculator.

Answer) your answer should be 62

Before you start reading this post (if anyone’s reading this at all) You have a calculator you can’t do trigonometry without one

One mor thing, these are the three ratios you are going to need to do this math (I don’t know why it’s like this so just work with it, also with the images are bury I then am sorry I couldn’t fix it)

Question 1

Step 1: The first thing you should when finding a side length is label which side is which each side will have its own word, Always remember to label the sides.

The longest side/ side above the right angle is always the Hypotenuse or Hyp for short.

The side Opposite to the random angle (not the right angle) in the triangle is always the Opposite or Opp for short.

The last side is called the Adjacent or Adj for short.

Step 2: Once you have labeled the sides you now need to know which sides length you need to first, in the picture I made you can see that X is the number we need to find we also see that X is the Opposite side and since the Hypotenuse is the other side with a number we are going to be using a sine ratio to solve this (if you don’t know what am talking about then look at the top of this blog post) so all you need to do now is make a fraction for X and 8.2 just remember Sine ratio is Opposite over Hypotenuse, try to make the fraction yourself if you can’t do it then look at the picture.

Step 3) Now you need to use the angle in the triangle just put Sin 19=opposite over hypotenuse

Step 4) Now you need to isolate X so take it from the fraction and put it behind an = sign

Step 5) Now your equation should be X = (sin 19) x 8.2 the reason you need brackets for the sin 19 is so that your calculator will now which number is for sin only.

Step 6) This last part is simple just put the equation in to your calculator your going to need to use a button that says sin on it, hopefully you had done it right if not then that’s ok just try again.

Answer: Calculate to the nearest tenth your answer should be 2.7

Question 2

(Editors note: if you notice that the question in the image says question 3 that was a mistake please ignore)

Step 1) This is basically same as the last question but this time you need to use cosine because you need to find the length of the Adj side and you already have the length of the Hyp side

Step 2) Now do the same thing you did in the last question but this time change the numbers (if you can’t do it then look at the first image at the top of this blog post)

Step 3) Your Equation should be (cos 66) x 13.5 now use your calculator.

Answer: Your answer should 5.5

Question 3

Step 1) This question is a bit different then the last 2 question this time we are not going to use the Hyp side, time time we only going to use the Opp and Adj side 

Step 2) The first part of this question is simple just do what you did before but and change the numbers again, since were using both Opp and Adj side we need to use Tangent to evaluate (if you can’t do it then look at the first image at the top of this blog post)

Step 3) Now if you have noticed the X is on the bottom of the fraction so we are going to need to divide instead of multiply (I don’t know why its like this so just go with it and remember if the X is on the top of the fraction you multiply and if its on the bottom then you divide)

Step 4) Now use your calculator again.

Answer: your answer should be 2.7

Both of these questions were made by me.

In this blog post I will be teaching whoever wants to read this the basics of  Scientific Notation it’s not hard.

Question 1

(Side note: always remember the decimal must always have one number in front of it, ONLY ONE also if your to lazy to read all the text then you can just look at the question visually instead).

Step one: First you must understand how exponents work, if already do then you can probably tell that 10 to the power of 3 is 1000

Step two: Now that you have to proper question you can simply add the 3 zeros to the 7.2

Step three: All you have to do now is use the exponent number and move the decimal 3 times to the right, doing this will help you indict how many numbers you need to keep as your answer

Step four: After you count from the decimal you can cross out any extra numbers you won’t need anymore.

Answer: Your final answer should 7.20

Question 2

This is how to answer a question for Scientific Notation in expanded form.

Step 1: First simply put the 7.2 as the first put of your answer

Step 2: Then put 3 multiply symbol and three 10s after the 7.2

Answer: 7.20 x 10 x 10 x 10

Combining exponents can but difficult so I decided to put two easy questions that can help you understand this subject in math, also keep in mind that BEDMAS is involved in this.

Question 1

The way to do question 1 is easy

Step 1: Multiply 3 and 5 the answer will be the first part of the answer.

Step 2: Add the X to the right next to 15 (you don’t need to change anything about the X)

Step 3: Add the exponents together and put the final number on the top right of X

Side note: You must always remember that when your doing questions like this and you have to multiply, exponents will add together not multiply, (I know it stupid but I don’t make the rules so just go along with it, I couldn’t find the reason for it but if you can try if you want).

Answer: Your answer should be 15X to the power of 5

Question 2 may look a bit harder but I promise you its not difficult it just takes longer to do

Step one: Divide the negative 8 with the 2 and put that as the first part of your answer.

Step two: Now subtract b to the power of 6 within the first bracket with b to the power 3 in the second bracket, then you should get b to the power of 3 (you don’t need to change anything about the b)

put that answer as the next part as the finale answer.

Side note: When your dividing with exponents you must always subtract ( Once again I don’t know why the exponents work like this)

Step three: Now do the same thing you did with the b but this time replace it with a c and subtract the numbers that are the exponents of c in both brackets ( Any number or letter that don’t have any exponents will always has 1 as the exponent also what is 1-1=0 so there will be no c)

Answer: your final answer should be negative 4b to the power of 3

this is how you do BEDMAS

Here are to examples for BEDMAS.

the reason I chose this topic was because it was the easiest to do, it is important this know this kind of math because it is simple.

All these images came from google just search BEDMAS examples and should find it.