Respuesta :

Answer:

Step-by-step explanation:

hypotunes isnt involved(as the length inst given and we know it is hypotunes as it is the oppisite direction from the right angle)

so sohcahtoa

therefore ir toa

tan(x)=o/a

(tan inverse)tan^-1=34/54

oppisite= 34 as it is oppisite to teh angle your trying to find

and the adjacent is beetwen the right angle and the angle your mesuring

rohiraakshay4

The angle x is 32.2° which is opposite to the side perpendicular of the length 34.

Right angled triangle:

A right angle triangle have one angle as right angle, the side opposite to the right angle is called hypotenuse and the side on which angle 90 degree is created is called base. The third side is called perpendicular.

Here we have given that

Perpendicular = CD = 34

Base = BC = 54

If we apply tan on this triangle we will find the relation between angle B, CD and BC.

How to use tan into right angle triangle?

we know that

tan x = [tex]\frac{perpendicular}{base}[/tex]

Using tan into our given triangle we have

[tex]tanx=\frac{CD}{BC}[/tex]

[tex]tanx=\frac{34}{54}[/tex]

[tex]tanx=0.629629[/tex]

[tex]x=tan^-1(0.629629)\\\\x=32.2[/tex]

Hence the final answer is 32.2°

Learn more about right angle triangle here -

https://brainly.com/question/1248322

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