Question

See image for question.

Please show workings and diagrams.​

Answer 1

• a) 7 km
• b) 298°

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:

• 270° + 28° = 298°