Vertical angles are equal...so set ur angles equal to each other and solve for x
5x + 10 = 7x - 12
12 + 10 = 7x - 5x
22 = 2x
22/2 = x
11 = x <==
Answer:
f(-7) = 21
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² + 4x
f(-7) is x = -7
<u>Step 2: Solve</u>
- Substitute: f(-7) = (-7)² + 4(-7)
- Evaluate: f(-7) = 49 + 4(-7)
- Multiply: f(-7) = 49 - 28
- Subtract: f(-7) = 21
Answer:
The tree is approximately 91.2 ft tall.
Step-by-step explanation:
Hi there!
We're told:
- angle of elevation = 69 degrees
- there is a point 35 feet from the tree
If we were to draw this out, it would appear to be a right angle triangle. See the picture below.
Now, to solve for the height of the tree, we can use the sine law:
where a and b are two sides of a right triangle and A and B are the respective opposite angles
Let the height of the tree = h.
Side h is opposite of the angle measuring 69 degrees:
Let the angle opposite of the side measuring 35 feet = A.
Because the sum of a triangle's interior angles is 180 degrees, we know that A=180-90-69=21 degrees.
Use the sine law:
Therefore, the tree is approximately 91.2 ft tall.
I hope this helps!