A plane takes off at an angle of 30 degrees and reaches a height of 10 miles. what is the diagonal distance it has traveled from take off to its current position

20 miles

Step-by-step explanation:

We apply trigonometry and using the attached illustration, we know that sine of an angle is the ratio of opposite to hypotenuse. In this case, the hypotenuse is the diagonal in question.

Sin 30°=10/hypotenuse

Hypotenuse=10/sin30°=10/0.5=20 miles

Therefore, the plane has gone a diagonal distance equivalent to 20 miles from its take off position

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