SOLUTION: The hypotenuse of a right triangle is 26cm, and the length of one leg is 10cm. Find, to the nearest degree, the measure of the smallest angle of the triangle.

Algebra ->  Trigonometry-basics -> SOLUTION: The hypotenuse of a right triangle is 26cm, and the length of one leg is 10cm. Find, to the nearest degree, the measure of the smallest angle of the triangle.      Log On


   



Question 713203: The hypotenuse of a right triangle is 26cm, and the length of one leg is 10cm. Find, to the nearest degree, the measure of the smallest angle of the triangle.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The hypotenuse of a right triangle is 26cm, and the length of one leg is 10cm.
Find, to the nearest degree, the measure of the smallest angle of the triangle.
:
Find the measure of the angle enclosed by the hypotenuse and the 10 cm leg
Use the cosine; side adj/hypot
cos(A) = 10%2F26
A = 67 degrees,
Find the smallest angle: 180 - 90 - 67 = 23 degrees