The distance of the plane from the airport is 345.57 miles
Explanation:
The problem will be solved using the law of cosine which has the following formula
c ² = a² + b² - 2ab cosC
where
c is the side opposite to the angle C
s² = (150)² + (230)² - 2(150) (230) cos (39.67⁰ + 90⁰)
s² = (150)² + (230)² - 2(150) (230) cos (129.67⁰)
s² = 22500 + 52900 + 44022
s² = 119,422
s = 345.57
Therefore, the distance of the plane from the airport is 345.57 miles
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