Please solve these problems mathematically.please follow the rules.thank you!!!!!!!!!!!!!!!!!!!!!!!

These are the four steps we need to follow:Step 1 Find which two sides we know – out of Opposite, Adjacent and Hypotenuse.Step 2 Use SOHCAHTOA to decide which one of Sine, Cosine or Tangent to use in this question.Step 3 For Sine calculate Opposite/Hypotenuse, for Cosine calculate Adjacent/Hypotenuse or for Tangent calculate Opposite/Adjacent.Step 4 Find the angle from your calculator, using one of sin-1, cos-1 or tan-1ExampleFind the size of angle a0Step 1 The two sides we know are Adjacent (6,750) and Hypotenuse (8,100).Step 2 SOHCAHTOA tells us we must use Cosine.Step 3 Calculate Adjacent / Hypotenuse = 6,750/8,100 = 0.8333Step 4 Find the angle from your calculator using cos-1 of 0.8333:cos a0 = 6,750/8,100 = 0.8333cos-1 of 0.8333 = 33.60 (to 1 decimal place)Example #1Find the missing angle when you are given the following dimensions.BC = 3; AC = 16; AB = 8, Cos ? = 3/16ExplanationThe missing value is x than Cos 3 / 16Cos x = 0.2x = Cos-1 0.2x = 78.5Answer = 78.50Practice Problem #1:Find the missing angle:BC = 10 ; AC = 18 ; AB = 7, Sin__?__ = 7 / 18Explanation #1The missing value is x than Sin 7 / 18Sin x = 0.4x = Sin-1 0.4x = 23.60Answer = 23.60Practice Problem #2)Find the missing angle:BC = 24 ; AC = 13 ; AB = 4, tan_?___ = 13 / 24Explanation #2The missing value is x than tan 13 / 24tan x = 0.5x = tan-1 0.5x = 26.60Answer = 26.60Practice Problem #3)Find the missing angle:BC = 18 ; AC = 33 ; AB = 15, Cos__?__ = 18 / 33Explanation #3The missing value is x than Cos 18 / 33Cos x = 0.5x = Cos-1 0.5x = 600Answer = 600ReviewDirections: Find the missing angle in each of the following problems.1. QR = 36 ; PR = 45 ; PQ = 21, Sin __?___ = 21 / 452. QR = 16 ; PR = 2 ; PQ = 8, tan __?__ = 8 / 163. QR = 15 ; PR = 28 ; PQ = 15, Cos __?__ = 15 / 284. QR = 47 ; PR = 64 ; PQ = 38, tan __?__ = 38 / 475. QR = 4 ; PR = 17 ; PQ = 12, Sin __?___ = 12 / 176. QR = 36 ; PR = 59 ; PQ = 20, Cos __?___ = 36 / 597. QR = 82 ; PR = 63 ; PQ = 29, tan __?__ = 29 / 828. QR = 10 ; PR = 28 ; PQ = 8, Sin __?___ = 8 / 289. QR = 51 ; PR = 42 ; PQ = 9, tan __?__ = 9 / 5110. QR = 16 ; PR = 20 ; PQ = 17, Cos __?___ = 16 / 2011. QR = 12 ; PR = 84 ; PQ = 60, Sin __?_ = 60 / 8412. QR = 19 ; PR = 32 ; PQ = 45, Cos __? = 19 / 3213. QR = 76 ; PR = 27 ; PQ = 64, tan __ ?_ = 64 / 7614. QR = 26 ; PR = 48 ; PQ = 37, Cos __?_ = 37 / 4815. QR = 19 ; PR = 66 ; PQ = 23, Cos __?__= 23 / 66

Scenario:The owner of a small printing company is considering the purchase of additional printing equipment to expand her business. If the owner expands the business and sales are high, projected profits (minus the cost of the equipment) should be $90,000; if sales are low, projected profits should be $40,000. If the equipment is not purchased, projected profits should be $70,000 if sales are high and $50,000 if sales are low. Are there options other than the purchase of additional equipment that should be considered in making the decision to expand the business? If the owner is optimistic about the company’s future sales, should the company expand by purchasing the equipment? Is the owner’s optimism or pessimism about sales the only factor that may impact the company’s profits? The equipment to be purchased is known in the industry to have a useful life of five years. How might this impact the printing company? For additional details, please refer to the Scenario Analysis Guidelines and Rubric document in the Assignment Guidelines and Rubrics section of the course.Specifically, the following critical elements must be addressed:·Main Element·Integration and Application·Analysis·Critical ThinkingGuidelines for Submission: Your analysis of the scenario must be submitted as a 1-to 2- Page Microsoft Word document with double spacing and 12-point Times New Roman font.