Two times the quantity of seven less than one fourth of a number is equal to four more than one third of the number what is the
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Answer:
38.6 miles
Step-by-step explanation:
The scenario has been modeled as a triangle, where A, B and C are the angles and a, b and c are the sides opposite the angles.
<u>Side c</u>
AB = 34 miles
<u>Angle B</u>
90° - 53° = 37°
<u>Angle A</u>
90° + 21° = 111°
<u>Interior angles of a triangle sum to 180°</u>
⇒ A + B + C = 180°
⇒ 111° + 37° + C = 180°
⇒ 148° + C = 180°
⇒ C = 180° - 148°
⇒ C = 32°
To find the measure of side b (AC), use the Sine Rule.
<u>Sine Rule</u>
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Substitute the values into the formula:
Therefore, weather station A is 38.6 miles from the storm.
Learn more about the Sine Rule here: