Question

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.​

Answer 1

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