Sin x = cos (90-x)
90-x = 19
x = 71
The answer is 71 degrees.
I think it is 568 if I’m not mistaken
Answer
Find out the value of x.
To prove
By using the trignometric identity
![sin\theta = \frac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=sin%5Ctheta%20%3D%20%5Cfrac%7BPerpendicular%7D%7BHypotenuse%7D)
As given in the diagram.
![\theta = 50 ^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2050%20%5E%7B%5Ccirc%7D)
Perpendicular = x
Hypotenuse = 6
Put in the above identity
![sin\ 50^{\circ} = \frac{x}{6}](https://tex.z-dn.net/?f=sin%5C%2050%5E%7B%5Ccirc%7D%20%3D%20%5Cfrac%7Bx%7D%7B6%7D)
![sin\ 50^{\circ} = 0.77\ (Approx)](https://tex.z-dn.net/?f=sin%5C%2050%5E%7B%5Ccirc%7D%20%3D%200.77%5C%20%28Approx%29)
Put in the above
![x = 6\times 0.77](https://tex.z-dn.net/?f=x%20%3D%206%5Ctimes%200.77)
x = 4.6 cm (Approx)
Therefore Option (c) is correct .
To figure this out you would need to create a rectangle with dimensions that give you an area of 7 ft.². The easiest example would be a rectangle that is one by seven. If the scale is 1:16, that means for every foot it is actually representing 16 feet. The actual length and width would be found by multiplying 1×16 and 7×16. The true dimensions then would be 16 x 112. Multiply this together to get a total area of 1792 ft.².
Oh, I remember this one. Here's this if you need it, if it doesn't help then let me know.