Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Using it's formula, it is found that the tangent of F is given by:
- [tex]\tan{F} = \frac{6\sqrt{85}}{85}[/tex]
How to find the tangent of an angle?
- In a right triangle, the tangent of an angle is given by the length of the opposite leg divided by the length of the adjacent leg.
Researching the problem in the internet, it is found that for the right triangle in this problem:
- The length of the opposite leg to angle F is of 6.
- The length of the adjacent leg to angle F is of x.
- The length of the hypotenuse is of 11.
Applying the Pythagorean Theorem, we have that:
[tex]6^2 + x^2 = 11^2[/tex]
[tex]36 + x^2 = 121[/tex]
[tex]x^2 = 85[/tex]
[tex]x = \sqrt{85}[/tex]
Considering that the tangent is the length of the opposite leg divided by the length of the adjacent leg, we have that:
[tex]\tan{F} = \frac{6}{\sqrt{85}} \times \frac{\sqrt{85}}{\sqrt{85}} = \frac{6\sqrt{85}}{85}[/tex]
To learn more about tangent, you can take a look at https://brainly.com/question/24680641
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.