When the bridge is fully raised, tan⁡ θ=5/12. what is sec ⁡θ?

sec Ф = 13/12

Step-by-step explanation:

If tan Ф = 5 / 12, we can find the third side of this triangle (that is, the hypotenuse) by applying the Pythagorean Theorem:  

hyp² = 5² + 12² = 169.  Thus, the hyp is 13.

Thus, cos Ф = adj / hyp = 12/13.

The secant function is the reciprocal of the cosine function, so

sec Ф = 13/12.

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