If segment fd = 20 units and segment de = 52 units, what is the value of b? round the solution to the nearest hundredth.
22.62
28.44
41.41
61.39

Check the picture below.

make sure your calculator is in Degree mode.

A.

Step-by-step explanation:

We have been given an image of a right triangle. We are asked to find the value of b to the nearest hundredth.

We can see that side FD is opposite side to angle b and side DE is hypotenuse of our given triangle.

We know that sine relates opposite side of a right triangle to its hypotenuse.

Now, we will use inverse sine to solve for b as:

Upon rounding our answer to nearest hundredth, we will get:

Therefore, the value of b is approximately 22.62 degrees and option A is the correct choice.

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°