MHB Solve Right Triangle Problem Without Knowing Bottom Line

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To solve a right triangle problem without knowing the base length, one can use trigonometric relationships involving angles. The angle θ can be utilized to find the hypotenuse (d) with the formula d = 16/cos(θ), where 16 meters is the adjacent side. The discussion raises skepticism about the possibility of determining a numerical value for d with only the angle θ provided. Clarification is sought on how one could arrive at a solution without additional information. Understanding these trigonometric principles is essential for solving similar problems effectively.
Jacob123
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How would I have to calculate this question for an answer, a friend of mine told me he could get the answer without knowing that the bottom line was 16 meters, I can't seem to find a way that would work, I am not sure if I am missing something or he is lying.

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I'd also like to know how your friend could determine a numerical value for $d$ just knowing the angle $\theta = 0.19$ with no other information.
If he let's you know how, post back and enlighten me.

Using the angle, $\theta$, value and the 16 meters ...

$\cos{\theta} = \dfrac{16}{d} \implies d = \dfrac{16}{\cos{\theta}}$
 

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