Question

Triangle D E F is shown. Angle F D E is a right angle. The length of D E is 40, the length of D F is 9, and the length of hypotenuse F E is 41. Given right triangle DEF, what is the value of tan(F)? StartFraction 9 Over 41 EndFraction StartFraction 40 Over 41 EndFraction StartFraction 40 Over 9 EndFraction StartFraction 41 Over 9 EndFraction

Answer 1

Answer:

The correct option is (3) 40/9.

Step-by-step explanation:

Consider the right angled triangle attached below.

The angle FDE is the right angle.

Using the trigonometric identities for right angled triangles compute the tangent of the measure of angle DFE as follows:

tan (DFE) = DE/DF

                = 40/9

Thus, the correct option is (3) 40/9.