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6 June, 21:31

In ΔOPQ, the measure of ∠Q=90°, PO = 17, QP = 8, and OQ = 15. What ratio represents the tangent of ∠P?

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  1. 6 June, 21:43
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    1.875

    Step-by-step explanation:

    Step 1:

    Given,

    In ΔOPQ,

    ∠Q=90°,

    PO = 17, QP = 8 OQ = 15

    Step 2:

    We know that the hypotenuse will be the largest side of a triangle.

    So in the given triangle PO = 17 is the hypotenuse.

    With respect to angle P, OQ represents the opposite side of angle P and PQ will be the adjacent side.

    Also the tangent of any angle in a triangle can be determined by dividing the opposite side of the angle by the adjacent side.

    Step 3:

    So using the above we have,

    tangent of angle P = opposite side / adjacent side = 15/8 = 1.875
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