Question

What is the error in this problem

Answer 1

12). LM = 37.1 units

13). c = 4.6 mi

Explanation:

12). LM² = 23² + 20² - 2(23)(20)cos(119)°

LM² = 529 + 400 - 920cos(119)°

LM² = 929 - 920cos(119)°

LM =
`√(929+446.03)`

=
`√(1375.03)`

= 37.08

≈ 37.1 units

13). c² = 5.4² + 3.6² - 2(5.4)(3.6)cos(58)°

c² = 29.16 + 12.96 - 38.88cos(58)°

c² = 42.12 - 38.88cos(58)°

c =
`√(42.12-20.603)`

c =
`√(21.517)`

c = 4.6386

c ≈ 4.6 mi