Given:
The figure of a right angle triangle ABC.
AB = x, BC=7, m∠B = 90°, ∠C=16°.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]
In triangle ABC,
[tex]\tan C=\dfrac{AB}{BC}[/tex]
[tex]\tan (16^\circ)=\dfrac{x}{7}[/tex]
[tex]0.28675=\dfrac{x}{7}[/tex]
Multiply both sides by 7.
[tex]0.28675\times 7=x[/tex]
[tex]2.00725=x[/tex]
[tex]x\approx 2[/tex]
Therefore, the value of x is about 2 units.