Aplane took off at a 15° angle to the ground and flew in sydney’s direction. she is standing at a point 25 miles from the point where the plane took off. if the plane has traveled 20 miles in the air, about how far is sydney from the airplane? round your answer to the nearest whole number.
a.8 mi.
b.15 mi.
c.28 mi.
d.59 mi.

The remaining horizontal distance that the plane has to travel before reaching Sydney is,
                                   25 miles - (cosine 15°)(20 miles) = 5.68 miles
The vertical distance from ground to plane is,
                                  vertical distance = (20 miles)(sine 15°) = 5.176 miles
The hypotenuse of the right triangle formed is equal to,
                           h² = (5.68 mil)² + (5.176 mil)² = 7.68 miles
The answer is A. 8 miles. 

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