Question

What is the value of x to the nearest tenth ? A.) 4.7 B.) 21.4 C.) 0.5

Answer 1

As we can see that the given triangle is a right triangle and one other angle is also given which is 25 degrees , Now the side opposite to angle 25 degrees is called as Opposite , and the side adjacent to 25 degrees angle is called Adjacent

Now , Opposite = 10

And

Adjacent = x

and angle = 25 degrees

Now the trigonometric ratio which relates these three things is tan

$tan( 25 )= \frac{opposite}{adjacent} = \frac{10}{x}$

$tan(25) = \frac{10}{x}$

Multiply both sides by x

x * tan(25) = 10

Divide both sides by tan(25) , and use calculator we get

$x=\frac{10}{tan(25) } = 21.445$

x= 21.445

Hence Option B , 21.4 is the correct answer

Answer 2

I will say that is B) i'm not sure