Question

HELP PLEASE! THIS IS DUE SOON! HELP ME! QUESTION BELOW!

Answer 1

Answer:

A) x = 113°

Explanation:

Given three sides: 6.4 cm, 5.8 cm, 10.2 cm

Use the cosine rule:

c² = a² + b² - 2ab cos(C)

Insert/put variables:

$\rightarrow \sf 10.2^2 = 5.8^2 + 6.4^2 - 2(5.8)(6.4) cos(x)$

$\rightarrow \sf -74.24 cos(x) = 10.2^2 - 5.8^2 - 6.4^2$

$\sf \rightarrow -74.24 cos(x) = 29.44$

$\rightarrow \sf cos(x) = \dfrac{29.44}{-74.24}$

$\rightarrow \sf x = cos^{-1}(-\dfrac{23}{58})$   = 113.36°  ≈ 113°  (rounded to nearest degree)