Answer:
Value of x = 7.0 units.
Step-by-step explanation:
Given the trigonometric equation
[tex]\tan \left(25^{\circ }\right)=\frac{x}{15}[/tex]
Switch sides
[tex]\frac{x}{15}=\tan \left(25^{\circ \:}\right)[/tex]
Multiply both sides by 15
[tex]\frac{15x}{15}=15\tan \left(25^{\circ \:}\right)[/tex]
Simplify
[tex]x=15\tan \left(25^{\circ \:}\right)[/tex]
∵ tan (25) = 0.46630
Thus,
x = 7.0 (rounded to nearest tenth)
Therefore, value of x = 7.0 units.
