Respuesta :

The missing side of length x is 19 units.To find the missing length of x after using the tan ratio.

What is trigonometry?

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Also, mathematics concerned with specific functions of angles and their application to calculations.

There are six functions of an angle commonly used in trigonometry.

Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec).

Given that:

The given right angle triangle has one side is given and one angle is given.

Bye the use of trigonometry ,we have

TanФ=perpendicular/base

Perpendicular= 20 unitsBase = x units

Tan 47°= 20 units/x

unitsx =20/tan 47°

x=18.64  

units≈ 19 units

Therefore, the missing side of length x is 19 units.

Learn more about trigonometry here:

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