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 = 73.0°, b = 128 in.

Accepted Answer

Find the missing side links. And the missing angle of the right triangle express the angle in the grease where we have C equals 90 degrees B equals 69 degrees and side B equals 1 12 centimeters. We have four possible answers. All of them with a missing angle A and missing sides A and C. Now to solve this, we can first find our missing angle A. We know the sum of angles inside of a triangle should equal degrees. So we will add A B and C together to get 1 80. We don't have angle A but we have angle B of 69 degrees and angle C of 90 degrees. Solving for A, we can subtract the other angles from the right side and get A as equals which one do you want? The degrees? Now, I will draw a triangle, we should get angle A 21 degrees angle B 69 degrees and angle C of 90. We also have side B which is the opposite side from the angle at 1 centimeters. We can not make use of trick functions to find our missing sets, let's say we want side a first, I know the tangent, I have an angle. I'll say angle B as equals to our opposite side divided by our adjacent side. That be side B divided by side A, OK. 10 to 69 degrees is equals to 1, 12 centimeters divided by a side. A isolating A by itself, we would get a equals 1 12 divided by the 10 of 69. We can throw this into our calculator which gives us centimeters. Now, let's do the same for a missing side C or her hippo. For this, we will use our engle. So sign of angle B as equals to side B divided by hypo is C. We get sin A 69 S equals to 1 divided by C. We can now rearrange ticket C equals 1 12 divided by the sign of 69 which means we get see is equals to 120 centimeters. We now have our answer angle A of 21 degrees side A of 43 centimeters. Side C of 1 20 centimeters. We then see the answer to our problem is answer A OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

Key Concepts

Right Triangle Properties

Trigonometric Ratios

Angle Measurement Conversions

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