Using similar triangles to find the tangent of an angle

In this figure, triangle GHJ is similar to triangle PQR.

Based on this information, which ratio represents tanH ?
A.)  8/15
B.)  8/17
C.)  15/8
D.)  17/8

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In similar triangles, corresponding angles are congruent.

Angle H in triangle GHJ is congruent to angle Q in triangle PQR.

Therefore, tanH = tanQ

opposite
------------ = tangent
adjacent

  8  
------- = tanQ = tanH
  15

A.)  8/15

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