Answer:
x = 2√58
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs and c is the hypotenuse of a right triangle)
Find the height of the triangle by using the base and hypotenuse of the smaller interior triangle and Pythagoras' Theorem:
a² + b² = c²
⇒ a² + 6² = (6√2)²
⇒ a² = (6√2)² - 6²
⇒ a² = 36
⇒ a = 6
Now we have the base and height of the larger interior triangle, we can calculate x:
a² + b² = c²
⇒ 6² + 14² = x²
⇒ x² = 232
⇒ x = √232
⇒ x = 2√58
cos(20°) is the correct answer.
Congratulations! This is the unit circle. Literally everyone hates this. Everyone takes this in Trigonometry though, and it's required. I literally failed Trigonometry because of this and had to retake it when getting my degree in Mathematics.
So, what is the x-coordinate of this? Well, for any angle or (angle in triangle) , the coordinates are always ().
In this case, angle is 20°, and so the x-coordinate will be cos(20°) while the y-coordinate will be sin(20°).
Hope this helped!
Answer:
<u><em>16 2/3</em></u>
Step-by-step explanation:
5+5-2+7-1+2+2+2*3-1*7-2/6
5+5-2+7-1+2+2+6-7-1/3
17-1/3
16 2/3