Respuesta :

Space

Answer:

x = 77.8 ft

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

Trigonometry

  • sin∅ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

∅ = 40°

opposite leg of angle = 50 ft

hypotenuse = x ft

Step 2: Solve for x

  1. Substitute:                                        sin40° = 50/x
  2. Multiply x on both sides:                 xsin40° = 50
  3. Divide sin40° on both sides:           x = 50/sin40°
  4. Evaluate:                                           x = 77.7862
  5. Round:                                              x = 77.8 ft