Question

What is the value of sec Theta in the triangle below? A right triangle is shown. The hypotenuse has a length of 41 feet, another side has a length of 40 feet, and the other side has a length of 9 feet. The angle opposite to the side with length 9 feet is theta. StartFraction 9 Over 41 EndFraction StartFraction 9 Over 40 EndFraction StartFraction 41 Over 40 EndFraction StartFraction 41 Over 9 EndFraction

Answer 1

C

Explanation:

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Answer 2

41/40

Explanation:

To answer this, we need the definition of sec theta

By definition,

Sec theta = 1/cos theta

We know that cos theta = adjacent/hypotenuse

So this means that sec theta = hypotenuse/adjacent

From the question, the hypotenuse is 41 feet at while the adjacent is 40 feet( the side that faces the angle is the opposite which is 9 feet in this case)

Thus, sec theta = 41/40