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Answer:

Hewo! Thanks for the question.

So, we have given a right angle triangle with adjacent side = 16 and let 74° is angle A, We have to find the perpendicular or x.

Let's move straight to the answering process,

According to question,

Tan74° = opp/adj

Tan74° = x/16

x = Tan74°×16

Tan74° is equals to 3.48,

x = 3.48×16

x = 55.8

Hope it helps!<3

Value of x is 4.58 units

What is right angled triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle or two sides are perpendicular

What is Trigonometric function?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

From the given figure,

We know that tan θ = Opposite side / Adjacent side

Opposite side = 16 units

θ = 74 degrees

Substitute the values in the equation

tan 74 = [tex]\frac{16}{x}[/tex]

x= [tex]\frac{16}{tan74} = 4.58[/tex] units

Hence, the value of x is 4.58 units

Learn more about Right angled triangle and Trigonometric functions here

https://brainly.com/question/12340099

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