Respuesta :

ANSWER

[tex]37.53units[/tex]

EXPLANATION

From the given right angle triangle the known angle is 47°

The side length which is x units is opposite to the known angle.

We also know a side length 35 units which is adjacent to the given angle.

We use the tangent ratio to obtain,

[tex] \tan(47 \degree) = \frac{opposite}{adjacent} [/tex]

[tex]\tan(47 \degree) = \frac{x}{35} [/tex]

[tex]x = 35\tan(47 \degree) = 37.53 \: units[/tex]

Answer:

x = 37.53 units

Step-by-step explanation:

Points to remember

Trigonometric ratios

Sin θ  = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = Opposite side/Adjacent side

From the figure we can see a right angled triangle with one angle is 47° and adjacent  side length of that angle is 35

To find the value of x

From the figure we can write,

Tan 47 =  Opposite side/Adjacent side

 = x/35

x = 35 * Tan 47

 = 37.53 units