Option A:
a = 23 ft
Solution:
The given triangle is right triangle.
The value of tan A = 1.0
b = 23 ft
Using trigonometric formula,
[tex]$\tan \theta=\frac{\text { Opposite side }}{\text { Adjacent side }}[/tex]
[tex]$\tan A=\frac{a}{b}[/tex]
Substitute the value of tan A and b.
[tex]$1.0=\frac{a}{23}[/tex]
Do cross multiplication, we get
1.0 × 23 = a
23 = a
Switch the sides
a = 23 ft
The length of a is 23 ft.
Hence option A is the correct answer.
