Answer:
Step-by-step explanation:
Given that:
Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.
The angle of depression is unknown.
Distance of the point at sea surface from the base of lighthouse is 865 ft.
This situation can be modeled or can be represented as the figure attached in the answer area.
The situation can be represented by a right angled 
in which we are given the base and the height of the triangle.
And we have to find the value of 
(Because they are the internal vertically opposite angles).
Using tangent ratio:
Therefore, the angle of depression is:
For this case we must find the value of the variable "x" of the following expression:
We apply distributive property to the terms within parentheses: 
We subtract 4x on both sides:
We add 2 to both sides:
We divide between 2 on both sides:
Answer:
Suzy makes 675
Katie makes 500
Janine makes 800
The number you are in search of is -52.
To find this, we first have to write the equation that goes along with the sentence. For this, we need to take it one term at a time.
Negative sixteen (-16) plus (+) the quotient of a number and -4 (x/-4) is (=) -3.
Now put the parenthesis together
-16 + x/-4 = -3
Now we can solve this for x.
-16 + x/-4 = 3 ---> add 16 to both sides
x/-4 = 13 ----> multiply both sides by -4
x = -52
