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

Question

asked Sep 13, 2023 213k views

1 Answer

Naoto Ida · Answer 1 · 2023-09-18T13:59:31+0000

Answer:

A) x = 113°

Step-by-step 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:

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

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

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

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

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