Answer:
B
Step-by-step explanation:
Answer:
x= -10
Step-by-step explanation:
Answer:
![\theta = 9.93](https://tex.z-dn.net/?f=%5Ctheta%20%3D%209.93)
Step-by-step explanation:
If we draw a right angle triangle ABC,
where B is the vertex with 90 degrees.
A is the top of the lighthouse
C is the waterline of the ship.
we can write the sidelengths of this triangle.
AB = 152
BC = 868.
to find the angle of depression
, all we need to find is the angle BAC and subtract it from 90 degrees.
![\theta = 90 - B\hat{A}C](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2090%20-%20B%5Chat%7BA%7DC)
to find the angle BAC, we'll use trigonometric functions.
we don't have the hypotenuse of the triangle, and we won't be needing it either. we'll use tan
} = \dfrac{BC}{AB}[/tex]
} = \dfrac{868}{152}[/tex]
to find the angle of depression:
![\theta = 90 - B\hat{A}C](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2090%20-%20B%5Chat%7BA%7DC)
![\theta = 90 - 80.067](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2090%20-%2080.067)
![\theta = 9.93](https://tex.z-dn.net/?f=%5Ctheta%20%3D%209.93)
Answer: PART A:
The generic equation of the line is:
y-yo = m (x-xo)
First we look for the slope of the line:
m = (y2-y1) / (x2-x1)
m = ((5000) - (6000)) / (4-3)
m = -1000
Then, we substitute any point in the generic equation:
(xo, yo) = (4, 5000)
Substituting:
y-5000 = (- 1000) (x-4)
Rewriting:
y = -1000x + 4000 + 5000
y = -1000x + 9000
The equation is:
y = -1000x + 9000
PART B:
For the price of 3.50 we have:
y = -1000 * (3.5) +9000
y = 5500
Step-by-step explanation: