See picture below for a geometric view.
Let x = height of building
We use basic trigonometry to find x.
The tangent function = opposite side of right triangle OVER adjacent side of right triangle.
tan(2°) = x/1
Solve for x.
After multiplying both sides by 1 (here 1 represents 1 mile), we get
tan(2°) = x.
We now use the calculator to find x.
In fact, you can take it from here. Use your calculator.
Answer:
a) x(x - 2)
b) 6x(x + 2)
c) 3x(x^2-3)
d) (2x)(2x)(1+7x)
Step-by-step explanation:
Answer:
The answer to your question is below
Step-by-step explanation:
(2x⁴ + 7x³ - 3x + 9) - (6x⁴ - 3x³ - 6x² - 17)
Step 1. take out the parenthesis, in the second term, change the signs
2x⁴ + 7x³ - 3x + 9 - 6x⁴ + 3x³ + 6x² + 17
Step 2. Group like terms
(2x⁴ - 6x⁴) + (7x³ + 3x³) + (6x²) + (-3x) + (9 + 17)
Step 3. Simplify like terms
-2x⁴ + 10x³ + 6x² - 3x + 26
Answer:
(a)Therefore the value of x=
(b) Therefore the value of x 
Step-by-step explanation:
Horizontal tangent line: The first order derivative of a function gives the slope of the tangent of the function. The slope of horizontal line is zero.If the slope of tangent line is zero then the tangent line is called horizontal tangent line.
(a)
Given function is,

Differential with respect to x

For horizontal tangent line, f'(x)=0
3+ 3 cos x= 0
⇒3 cos x=-3
⇒cos x=-1
⇒x = 180° 
Therefore the value of x=
(b)
Given that, the slope is 3.
Then,f'(x)=3
3+ 3 cos x= 3
⇒3 cos x= 3-3
⇒cos x=0
⇒x = 90° 
Therefore the value of x 
Answer:
273.5j+5.25
Step-by-step explanation:
first combine like terms 275j-1.5j. and then 2.25+3