In a right triangle, angle A measures 20°. The side opposite angle A is 10 centimeters long. Approximately how long is the hypotenuse of the triangle? 3.4 centimeters 10.6 centimeters 27.5 centimeters 29.2 centimeters
Accepted Solution
A:
Given that the angle measure 20 and the side opposite to that angle measures 10 cm, suppose this is the height of the triangle, the hypotenuse Such that sin theta=opposite/hypotenuse opposite=a=10 cm sin 20=10/h multiplying both sides by h we get hsin20=10 hence; h=10/sin20 h=29.24 cm h=29.2 cm