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.

a = 958 m, b = 489 m

Accepted Answer

Find the missing side links and the missing angles of the right triangle express the angles in the grease, but we have C is 90 degrees A is 923 centimeters and B is 437 centimeters. We have four possible answers with angle A angle B and side C. Let's go ahead and find our missing values. I would draw a rectangle first where we have angle C which is the right angle as 90 degrees side A is 923 centimeters. Side B is 437 centimeters. We can first find side C or the IPO. By using the Pythagorean formula, we get a squared plus B squared equals C squared, which means to find C squared, we get C equals the square root of A squared plus B squared. Yes, C equals 923 squared plus 437 squared. We can simplify this to get C is equals to 10, 21.2 centimeters. Now, let's find our angles. We now have all of our sites, which means we can make use of trick functions to find our angles. Let's go ahead and find angle B. First angle B, we can use a tangent to find you have the tangent of angle B as equals to side B divided by side A which are the opposite side. And the adjacent side of angle B, we get 10 of B as equals to 37 divided by 9 23. To get B, we take the inverse tangent of both sets. And if we were to throw this into a calculator, we will end up with 25.3 degrees. Finally, we can find angle A by using our sum of interior angles of a triangle, we know the sum of angles should equal 1 80 which means we get 1 80 equals A plus B plus C. Now, we know angle B is 25.3 degrees. We know angle C is 90 but we don't know angle A we can solve for angle A by subtracting the other two angles, we should then get a equals 64.7 degrees. Will she now has sight C of 10, 21.2 centimeters. Angle B of 25.3 degrees and angle A of 64.7 degrees. This means the answer to our problem. 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

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