The value of sin A is equal to ![\frac{5}{13}.](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B13%7D.)
<h3>RIGHT TRIANGLE</h3>
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. In this triangle from the trigonometric ratios or the Pythagoras Theorem (
), it is possible finding angles or sides.
<h3>Trigonometric Ratios</h3>
The main trigonometric ratios for a right triangle are presented below.
![sin\alpha =\frac{opposite \; side}{hypotenuse}](https://tex.z-dn.net/?f=sin%5Calpha%20%3D%5Cfrac%7Bopposite%20%5C%3B%20side%7D%7Bhypotenuse%7D)
![cos\alpha =sin\alpha =\frac{adjacent\; side}{hypotenuse}](https://tex.z-dn.net/?f=cos%5Calpha%20%3Dsin%5Calpha%20%3D%5Cfrac%7Badjacent%5C%3B%20side%7D%7Bhypotenuse%7D)
![tan\alpha =\frac{opposite \; side}{adjacent\; side}](https://tex.z-dn.net/?f=tan%5Calpha%20%20%3D%5Cfrac%7Bopposite%20%5C%3B%20side%7D%7Badjacent%5C%3B%20side%7D)
The question asks the sin A. First, you should find the hypotenuse from Pythagoras Theorem.
![hypotenuse^2=(10)^2+(24)^2\\ \\ hypotenuse^2=100+576\\\\ hypotenuse^2=676\\ \\ hypotenuse=26](https://tex.z-dn.net/?f=hypotenuse%5E2%3D%2810%29%5E2%2B%2824%29%5E2%5C%5C%20%5C%5C%20hypotenuse%5E2%3D100%2B576%5C%5C%5C%5C%20hypotenuse%5E2%3D676%5C%5C%20%5C%5C%20hypotenuse%3D26)
Now you can find sin A.
![sin\A=\frac{10}{26}=\frac{5}{13}](https://tex.z-dn.net/?f=sin%5CA%3D%5Cfrac%7B10%7D%7B26%7D%3D%5Cfrac%7B5%7D%7B13%7D)
Learn more about trigonometric ratios here:
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Answer:
1. 63.64
2. 54 in
3. 18 in
4. 20.25
5. 168
6. 6 cm
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Saying 25+ -8 is basically saying 25-8, and since 25 is the bigger number and it's positive, you get positive 17
Answer:
x = 1
Step-by-step explanation:
f(x) = 3 or y = 3
Locate y = 3 on the y- axis , go horizontally across to meet the line at (1, 3 )
Then
When f(x) = 3 , x = 1
The guy above did you dirty