Verified Answer :

SapphireMoon

I assume you're allowed to use sin and cos laws here, this is a trigonometry class, yes? Here we have an angle of a right triangle, and the side adjacent to it, and we need to find the hypotenuse. Since cos = adj/hyp, it's the proper one to use here:
\(cos(24) = \frac{11}{x}\)
\(x = \frac{11}{cos24}\)
Evaluate it with a calculator to get x = 12.04 units. Make sense?

aksnkj

On calculating by trigonometric ratio method The value of x is 26.

Given,

a right triangle has hypotenuse of x units and base is 11 units.

We have to calculate the value of x.

How to use trigonometric ratios?

We know that from trigonometric ratios,

\(COS \Theta=\dfrac{Base }{Hypotenuse}\)

Here

\(\Theta = 24^{\circ}\),

\(COS\ 24^{\circ}=\dfrac{11}{x}\)

\(0.424=\dfrac{11}{x}\)

\(x=\dfrac{11}{0.424}\)

\(x=25.94\)

The nearest tenth value of x is 26.

For more details about trigonometric ratios, follow the link:

https://brainly.com/question/1201366

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