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What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table.

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What is the approximate value of x in the diagram below? (Hint: You will need to use one of the trigonometric ratios given in the table. class=

Verified Answer :

Lampa20

Because 23 and x are sides of triangle we need tan or ctan function to calculate ratios between sides of triangles.

that means we will use tan 36 = 0.727

0.727 = 23/x   because of definition of tan function.

x = 23/0.727 = 31.637

The approximate value of 'x' in the diagram is 31. 64

How to determine the value of x

Using the formula, tan α = opposite side/ adjacent side

Opposite side = side opposite the angle

Adjacent = the other side

IF  α  = 36°

Opposite = 23

Adjacent = x

tan 36 = 0. 727

Substitute values into the formula

tan 36° = 23/ x

0.727 = 23/ x

Make 'x' subject by cross multiplying

x * 0. 727 = 23

x = 23/ 0. 727

x = 31. 64

Thus, the approximate value of 'x' in the diagram is 31. 64

Learn more about tangent identity here:

https://brainly.com/question/17089669

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