In ΔMNO, the measure of ∠O=90°, NM = 89, ON = 39, and MO = 80. What ratio represents the tangent of ∠N?
Question
In ΔMNO, the measure of ∠O=90°, NM = 89, ON = 39, and MO = 80. What ratio represents the tangent of ∠N?
Solution
In a right triangle, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
In triangle MNO, ∠N is the angle we are interested in.
The side opposite ∠N is ON, which has a length of 39.
The side adjacent to ∠N is MO, which has a length of 80.
Therefore, the tangent of ∠N is the ratio of ON to MO, which is 39/80.
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