What is the length of side x? Round your answer to the nearest whole number. 56 centimeters 54 centimeters 55 centimeters 57 centimeters

Question

asked Apr 1, 2023 165k views

1 Answer

Rafael Zayas · Answer 1 · 2023-04-06T03:41:38+0000

Answer:

x ≈ 54 cm

Explanation:

using the Cosine rule in the triangle

x² = 55² + 51² - (2 × 55 × 51 × cos61° )

= 3025 + 2601 - 5610cos61°

= 5626 - 5610cos61°

x =
√(5626-5610cos61) ≈ 54 cm ( to the nearest whole number )