Final answer:
To solve the equation 25 tan 10 = x, we convert the angle 10 degrees to radians, and substitute the value into the equation, to find the value of x, which is approximately 7.643.
Step-by-step explanation:
To solve the equation 25 tan 10 = x, we can use the trigonometric function tangent (tan). First, we need to convert the angle 10 degrees to radians. Since 1 radian is approximately equal to 57.3 degrees, we can find the value of 10 degrees in radians by dividing 10 by 57.3. So, 10 degrees is approximately 0.1745 radians.
Now, we can substitute the value of 0.1745 radians into the equation: 25 tan(0.1745) = x. Using a calculator, we find that tan(0.1745) is approximately 0.3057.
So, the value of x is 25 multiplied by 0.3057, which is approximately 7.643.