Question

saha is running orienteering course. he runs 750m to the first checkpoint on a bearing of S53W at the checkpoint he is instructed to run another 600m on a bearing of N68W to the next checkpoint. if sarha current position north or south of his starting position? how far north or south?

Answer 1

Saha current position is 696.58m from his starting position.

Data;

• a = 53°
• A = 600m
• b = 68°
• C = 750m
• c = ?
• B = ?

Sine Rule

To solve this question, we can use sine or cosine rule.

But since his current position is North of his starting point, we can use sine rule here

$\frac{a}{sinA} = \frac{b}{sin B}$

where b represents the distance from his current position to his starting position.

$\frac{a}{sinA} = \frac{b}{sin B} \\\frac{600}{sin53} = \frac{b}{sin 68}$

Let's cross multiply and solve b

$b= \frac{600sin68}{sin53} \\b = 696.58m$

Saha current position is 696.58m from his starting position.

Learn more on bearings here;

https://brainly.com/question/23427938