Respuesta :

Answer: x=14.4

Step-by-step explanation:

The triangle shown in the figure attache is a right triangle. Therefore, you can calculate the missing side "x" as following:

[tex]tan\alpha=opposite/adjacent[/tex]

Where:

[tex]\alpha=64\°\\opposite=x\\adjacent=7[/tex]

When you solve for x and substitute the values shown above, you obtain the following result:

[tex]x=7*tan(64\°)\\x=14.35[/tex]

[tex]x[/tex]≈[tex]14.4[/tex]

Answer:

The correct answer is option (2). 14.4

Step-by-step explanation:

Formula:-

tanα = Opposite side /Adjacent side

From the given figure, We can see that its a right angled triangle.

To find the value of x

Tan 64 = Opposite side /Adjacent side

Tan 64  = x/7

x = 7 * tan 64

x = 7*2.05 = 14.35 ≈ 14.4

Therefore the correct answer is option (2). 14.4