Answer:
Step-by-step explanation:
See attached diagram (not to scale).
All given details reflected.
a) Find the measure of XZ using the law of cosines:
- y = √(5² + 3² - 2*5*3*cos 135°) = 7 km (rounded)
b) Now using the law of sines find the measure of angle X:
- 7 / sin 135° = 5 / sin X
- sin X = 5 sin 135° / 7
- m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)
The bearing of Z from X is:
