Answer:
N 58.4 ° W
S 81.5 ° W
Step-by-step explanation:
Applying the law of cosine which is as follows:
C ^ 2 = A ^ 2 + B ^ 2 - 2 * A * B * Cos (° A)
In the first case we know that:
C = 235
A = 178
B = 273
If we replace we have:
235 ^ 2 = 178 ^ 2 + 273 ^ 2 - 2 * 178 * 273 * Cos (° A)
55225 = 106213 - 97188 * Cos (° A)
Cos (° A) = (55225 - 106213) / - 97188
Cos (° A) = 0.525
° A = arc cos (0.525)
° A = 58.4 °
Which means that from Denver to Orlando there is a bearing of N 58.4 ° W
In the second case we have to:
C = 273
A = 178
B = 235
If we replace we have:
273 ^ 2 = 178 ^ 2 + 235 ^ 2 - 2 * 178 * 235 * Cos (° B)
74529 = 86909 - 83660 * Cos (° B)
Cos (° B) = (74529 - 86909) / - 83660
Cos (° B) = 0.148
° B = arc cos (0.525)
° B = 81.5 °
Which means that from Niagara Falls to Denver there is a bearing of S 81.5 ° W
