Consruct right triangle ABC with a hypotenuse, AC of length 17, and a long leg, AB, of length x. Angle B is the right angle. The measure of angle A is 31 degrees. Solve for the approximate value of x. Reread the description to make sure your diagram is correct. Do your work on lined paper and check it carefully. Make sure your calculator is in degree mode.

Question

Mathematics

Allyson Church

7 August, 05:42

Consruct right triangle ABC with a hypotenuse, AC of length 17, and a long leg, AB, of length x. Angle B is the right angle. The measure of angle A is 31 degrees. Solve for the approximate value of x. Reread the description to make sure your diagram is correct. Do your work on lined paper and check it carefully. Make sure your calculator is in degree mode.

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Answers (1)

Know the Answer?

Ian Ward · Answer 1

x = 14.57184411

rounded nearest thousandth: x = 14.572

Step-by-step explanation:

(using sine)

sin (59) = x/17

sin (59) = 0.8571673007

=> (rounded) 0.857 = x/17

multiply 17 on both sides

=> x = 14.57184411 or 14.572