Given:
Given that ΔCDE is a right triangle.
The measure of ∠E is 90°
The measure of ∠D is 44° and the length of DE is 2.8 feet.
We need to determine the length of EC.
Length of EC:
The length of EC can be determined using the trigonometric ratio.
Thus, we have;
[tex]tan \ \theta=\frac{opp}{adj}[/tex]
where θ = D, the side opposite to angle D is EC and the side adjacent to angle D is ED.
Substituting the values, we have;
[tex]tan \ D=\frac{EC}{ED}[/tex]
Substituting the lengths, we get;
[tex]tan \ 44^{\circ}=\frac{EC}{2.8}[/tex]
Multiplying both sides of the equation by 2.8, we have;
[tex]tan \ 44^{\circ}\times 2.8 = EC[/tex]
[tex]2.7=EC[/tex]
Thus, the length of EC is 2.7 feet.
