Homework help: Find the exact values of r and x given A = 21 degrees, B = 69 degrees, and y = 6.?

Question

r = ?

x = ?

(also, why is r not equal to 16.74 and x equal to 15.63, I don't quite understand what I am doing wrong)

Answer 1

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exact value of r= 6/sin21°

exact value of x= 6tan69°

Answer 2

Value of x: 6/tan(21) = 15.63053439 or 15.63 rounded to two decimal places

Value of r: 15.63053439/sin(69) = 16.74256921 or 16.74 rounded to two decimal places.

Alternatively once two sides are known the third side can be found by using Pythagoras' theorem for a right angle triangle.