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topjm [15]
3 years ago
15

Trigonometry Problem Solving

Mathematics
1 answer:
Maslowich3 years ago
7 0

Step-by-step explanation:

Angle C = 180° - 83° - 59° = 38°

By Sine rule,

AC/sinB = AB/sinC

Therefore AC = ABsinB/sinC

= 10.3sin59°/sin38°

= 14.34km.

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Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

v_2 = v_1 + 4.

The first runner's speed is 4/5 of the speed of the second runner, hence:

v_1 = \frac{4}{5}v_2

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Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at brainly.com/question/24863377

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