To calculate this you need to imagine triangle which points are:
boat
Top of lighthouse
Bottom of lighthouse
That triangle has 90 degrees angle at bottom of lighthouse. That means that we can use trigonometry to determine length between boat and bottom of lighthouse
tan(25) = 89/x
x = 89/tan(25)
x = 190.86
after rounding, the answer is D, 191 feet
Answer:
21 pacientes tienen problemas cardíacos de los 70 pacientes diagnosticados
Step-by-step explanation:
Paciente con problema cardíaco del total de pacientes diagnosticados = 30%
Total de pacientes que van al hospital en un día = 70
El total de pacientes con problemas cardíacos entre los 70 pacientes diagnosticados es
30% de 70 = 30/100 * 70 = 21
Answer:
Exact form: ![\sin{(6x)} = \frac{8}{9}](https://tex.z-dn.net/?f=%5Csin%7B%286x%29%7D%20%3D%20%5Cfrac%7B8%7D%7B9%7D)
Decimal form: ![\sin{(6x)} = 0.8889](https://tex.z-dn.net/?f=%5Csin%7B%286x%29%7D%20%3D%200.8889)
The solution for x is: The solution for x is of 10.455º
Step-by-step explanation:
We are given the following equation:
![8 = 9\sin{(6x)}](https://tex.z-dn.net/?f=8%20%3D%209%5Csin%7B%286x%29%7D)
Placing into the desired format, the exact format is:
![\sin{(6x)} = \frac{8}{9}](https://tex.z-dn.net/?f=%5Csin%7B%286x%29%7D%20%3D%20%5Cfrac%7B8%7D%7B9%7D)
In the decimal part, we divide 8 by 9. So
![\sin{(6x)} = 0.8889](https://tex.z-dn.net/?f=%5Csin%7B%286x%29%7D%20%3D%200.8889)
Solving for x:
We apply the inverse sine. So
![\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}](https://tex.z-dn.net/?f=%5Csin%5E%7B-1%7D%7B%5Csin%7B%286x%29%7D%7D%20%3D%20%5Csin%5E%7B-1%7D%7B0.8889%7D)
![6x = 62.73](https://tex.z-dn.net/?f=6x%20%3D%2062.73)
![x = \frac{62.73}{6}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B62.73%7D%7B6%7D)
![x = 10.455](https://tex.z-dn.net/?f=x%20%3D%2010.455)
The solution for x is of 10.455º
3,200?? (it may not be right I'm sorry.)