An object launched at 65 degrees from the horizontal would have the same range (distance travelled) as an object launched from? Write only the WHOLE number with
no units (example: 65)

An object launched from 65° will have the same range as an object launched from 25°

Explanation:

The formula for the horizontal range, R, is given as follows;

Therefore, given that sinθ increases from 0 to 1 for θ values from 0 to 90° and decreases from 1 to 0 for θ values from 90° to 180°, and that the values of sin(θ) are positive in the first and second quadrant, we have that for the given angle, θ = 65°, the range is therefore;

The location of 130° = Second quadrant

A rotation of 130° in the counterclockwise is equivalent to a rotation of 50° in the clockwise direction

Therefore, we have sin(130°) = sin(50°)

Therefore, the range for 130°/2 = 65° is the same as the range for 50°/2 = 25° and an object launched from 65° will have the same range as an object launched from 25°.

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