Solve each right triangle. In each case, C = 90°. If angle inform...

Question

Solve each right triangle. In each case, C = 90°. If angle information is given in degrees and minutes, give answers in the same way. If angle information is given in decimal degrees, do likewise in answers. When two sides are given, give angles in degrees and minutes. See Examples 1 and 2.

B = 51.7°, a = 28.1 ft

Accepted Answer

Find the missing side links. And the missing angle of the right triangle express the angle of the grease where we have C equals 90 degrees B equals 45.8 degrees and A equals 23.6 centimeters. We have four possible answers being angle A is missing and sides B and C that are missing for every answer. Let's first go ahead and find our missing angle A. Now we know the angles in the triangle add to equal 180 degrees. So we can say we have 180. This equals angle A plus B plus C. We have angles B and C which means we have A plus 45. plus 90 that equals 1 80. Now, we would subtract the 45.8 and the 90 on both sides, we end up with A, I think it was to 44. degrees. Next, we need to find our sides. B and C. Let's go ahead and draw a triangle just to see what this looks like. We know angle seat is a right angle. Angle B is 45.8 degrees and angle A now is 44.2 degrees. We have side A which is 23.6 centimeters. We can now find both our sides because we have all three angles and we have one side at least, let's say we want side B. First, we can make use of the tangent where the tangent of angle A will be side A divided by side B, this would be the side opposite from my angle and adjacent to our angle. Now, we can say the tangent of 44.2 degrees equals 23.6 divided by side B. If we were to rearrange this to get B by itself, we get B equals 23.6 divided by the 10 of 44. degrees. And the calculator this gives us 24.3 centimeters. We can do the same to find site. C we know sign of an angle will be our opposite side divided by our high hot news. In this case of reference to angle A, our opposite side will be side A and our hot news is side C. We get sun of 44.2 degrees equals 23.6 centimeters divided by C rearranging. We get C equals 23.6 divided by the sign of 44.2. Throw this in the calculator to get C equals 33.9 centimeters. We now have all of our missing values angle A of 44. degrees. Side B of 24.3 centimeters, side C of 33.9 centimeters. We can then see the answer to our problem is the answer. D ok. I hope to help you solve the problem. Thank you for watching. Goodbye.

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