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

This is the concept of application of trigonometry, the length of the hypotenuse will  be given as follows;
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 will be given by:
sin theta=[opposite]/[hypotenuse]
theta=20
opposite=a=10 cm
hypotenuse=h=?
thus
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 ( 2 d.p)

The answer is $9.90 with rounding to the nearest tenth