Answer:
∠d = 56.3°
AD = 3.6 inches
Explanation:
The trapezoid can be decompose to a rectangle and a triangle. The triangle has a hypotenuse AD, height of 3 inches and base of 2 inches (7 - 5)
[tex]tan(d)=\frac{opposite}{adjacent} =\frac{height}{base} \\tan(d)=\frac{3}{2} \\tan(d)=1.5\\d=tan^{-1}(1.5)=56.3^0[/tex]
Therefore, ∠d = 56.3°
Using Pythagorean theorem:
AD² = base² + height²
AD² = 3² + 2²
AD² = 9 + 4 = 13
AD = √13 = 3.6 inches
