Question

As the figure shows Elton runs 500 m to point b first then he turns 110 degrees and runs another 350 m to point c how far is the distance from point a to c

Answer 1

658.24 m

Explanation:

The figure makes a triangle with vertices abc.

Where ab = 500 m

bc = 350 m

The angle abc = 100°

Using the cosine rule we can find the distance ac.

ac² = 500²+350² - 2×500×350×cos100°

= 372,500 - -60,776.86

= 433,276.86

ac = √433,276.86

= 658.24 m