The answer is 15.525. All you have to do is divide 279.45 by 18 which gives you 15.525.
The value of tangent theta is equal to the negative 1. At this value the value of secant theta is
.
<h3>What is tangent theta?</h3>
The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

Given information-
The value of tangent theta is equal to the negative 1.

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

Simplify it further as,

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of
. Which extent to the
for the cosine function.
In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

Thus the value of secant theta is 
Learn more about the tangent theta here;
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