Given:
Given that the triangle CDE is a right triangle.
The measure of ∠E is 90° and ∠D is 38°
The length of DE is 12 feet.
We need to determine the length of CD.
Length of CD:
The length of CD can be determined using the trigonometric ratio.
Thus, we have;
[tex]cos \ \theta=\frac{adj}{hyp}[/tex]
where [tex]\theta=D[/tex] and the side adjacent to angle D is ED and hypotenuse is CD.
Substituting these values, we get;
[tex]cos \ D=\frac{ED}{CD}[/tex]
where ∠D = 38°, ED = 12 feet.
Substituting, we get;
[tex]cos \ 38^{\circ}=\frac{12}{CD}[/tex]
Simplifying, we have;
[tex]CD=\frac{12}{cos \ 38^{\circ}}[/tex]
[tex]CD=\frac{12}{0.788}[/tex]
Dividing, we get;
[tex]CD=15.2[/tex]
Thus, the length of CD is 15.2 feet.
Answer:
51.6
Step-by-step explanation:
its because you have to use cos toh and all of the calculator functions
