Answer:
15 units
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
In the right triangle ABC
Applying the Pythagorean Theorem
we have
substitute the given values
solve for BC
- - If we have a edge area of: 2m
Then we can work out to find the surface area:
= Surface area.
So we plug in and solve and we get:
Surface area=
The balloon’s vertical distance above the ground is 570.3 feet
<h3>Angle of elevation and depression</h3>
Given the following parameters
The angle of depression = 36 degrees
Base distance = 785 feet
<h3>Required</h3>
vertical distance above the ground (H)
Using the SOH CAH TOA identity
tan 36 = H/785
H = 785tan36
H = 570.3 feet
Hence the balloon’s vertical distance above the ground is 570.3 feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
The slope is -2. The y-intercept is (0,1).
Answer:
x = √47
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle. We can use PT to solve for the missing side length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 5
Leg <em>b </em>= <em>x</em>
Hypotenuse <em>c</em> = √72
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 5² + x² = (√72)²
- Exponents: 25 + x² = 72
- Isolate <em>x</em> term: x² = 47
- Isolate <em>x</em>: x = √47
