SOLUTION: In a right triangle, the length of the hypotenuse is 12m and the measure of one of the acute angles is 36°.Find the measure of the other acute angle and the lengths of the legs.

Algebra ->  Trigonometry-basics -> SOLUTION: In a right triangle, the length of the hypotenuse is 12m and the measure of one of the acute angles is 36°.Find the measure of the other acute angle and the lengths of the legs.      Log On


   



Question 1146854: In a right triangle, the length of the hypotenuse is 12m and the measure of one of the acute angles is 36°.Find the measure of the other acute angle and the lengths of the legs.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Other angle is 90-36=54 degrees.
Use Law Of Sines for legs measures.

Answer by ikleyn(52834) About Me  (Show Source):
You can put this solution on YOUR website!
.

One leg is 12*sin(36°).


The other leg is  12*cos(36°).


Use your calculator.