235k views
5 votes
The angle of elevation the far side of an angle to the pool to the top of a waterfall is 54° and the distance is 230 feet. Find x.​

The angle of elevation the far side of an angle to the pool to the top of a waterfall-example-1
User Olly F
by
8.4k points

1 Answer

3 votes

Answer:

x = 135.191

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Trigonometry

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cos∅ = adjacent over hypotenuse

Explanation:

Step 1: Identify

Angle = 54°

Adjacent Leg = x

Hypotenuse = 230 ft

Step 2: Solve for x

  1. Substitute [cosine]: cos54° = x/230
  2. Isolate x: 230cos54° = x
  3. Evaluate: 135.191 = x
  4. Rewrite: x = 135.191
User Samnoon
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories