Draw a triangle with shortest side on the ground (horiz.). The length of this side is 80 feet. Two angles touch the ground: a right angle, and the 70 degree angle.

Then the height of the building is the 2nd shortest side.

The tangent function is the appropriate one to use here:
opp h
tan 70 deg = -------- = ----------
adj 80 ft
h
Since tan 70 deg = 2.75, 2.75 = -------
80 ft

so h = building height = (80 ft)(2.75) = 219.8 ft

6 0

3 years ago

3x3-27x=0<br> Solve by factoring a

Eddi Din [679]

After factoring $3x^3-27x=0$ the solutions are x=0 , x=3, x= -3

Step-by-step explanation:

We need to solve by factoring:

$3x^3-27x=0$

Solving:

$3x^3-27x=0$

Taking 3x common:

$3x(x^2-9)=0$

Now using formula $a^2-b^2=(a-b)(a+b)$

$3x((x)^2-(3)^2)=0\\3x(x-3)(x+3)=0$

$3x=0\,\,and\,\,x+3=0\,\,and\,\,x-3=0\\x=0\,\,and\,\,x=-3\,\,and\,\,x=3\\$

So, After factoring $3x^3-27x=0$ the solutions are x=0 , x=3, x= -3

Keywords: Factorization

Learn more about Factorization at:

#learnwithBrainly

5 0

3 years ago

Diego is building a kitchen table and a coffee table. The legs of a kitchen table must be twice the height of a coffee table and

Montano1993 [528]

In the expression 4(x), 4 represents the number of legs, and x represents the height of the coffee table.

Altogether this expression shows the total length of all legs from the coffee table and kitchen table combined.

5 0

3 years ago

Write a multiplication equation with 1/2 as a factor (EXPLAIN)

jolli1 [7]

16 BECAUSE YOU ADD THE CUT UP APPLES AND MAKE IT A FRACTION

4 0

3 years ago