Respuesta :

For this case we must find the value of "x", by trigonometric relations.

The tangent of an angle is given by the leg opposite the angle on the leg adjacent to the same angle.

[tex]tg (25) = \frac {10} {x}\\x = \frac {10} {tg (25)}\\x = \frac {10} {0.46630766}\\x = 21.4450691202[/tex]

Rounding:

[tex]x = 21.4[/tex]

Answer:

21.4

S1NGH

Answer:

x = 21.44506921

Step-by-step explanation:

Trigonometry

We need to find x or the adjacent

We are given the Opposite ( 10 )

We don't need the hypotenuse

So we use our formula triangles

TOA             SOH                  CAH

Since we don't need the hypotenuse, we look for a formula without ' H ' in it and it is TOA so we use it

Tan = Opposite ÷ Adjacent

We need to find the adjacent so we rearrange the formula into

Adjacent = Opposite ÷ Tan

Adjacent = 10 ÷ tan(25)

Adjacent = 21.44506921