Use the image for this question.
Find both the exact and approximate value of (AC)
(rounded to the nearest tenth).
Use your approximate answer from part a to find the side length of x.
Round your answer for x to the nearest tenth.

The value for x is 6 from the given diagram. The given diagram is combination of two right angle triangle.

Step-by-step explanation:

The given is,

                   Combination of two right angle triangle

Step:1

          From the right angle triangle ADC,

          Values from the diagram,

                                        ∅ = 45°

                                     AD = 7

         From the trigonometric ratios,

                                  ∅ =

                                                                ( ∵ cos 45 = 0.7071 )

                                                     = 9.899

                                             AC ≅ 10

Step:2

             From the right angle triangle ABC,

             Values from the diagram,

                                        ∅ = 55°

                                     AC = 10

             From the trigonometric ratios,

                                  ∅ =

                                                                ( ∵ cos 55 = 0.57357 )

                                                     = 5.7357

                                         CB = x ≅ 6

Result:

          The value for x is 6 from the given diagram. The given diagram is combination of two right angle triangle.

add an image

step-by-step explanation:

what