Question

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

Answer 1

29.24 centimeters

Explanation:

The trigonometry of angles states that in a right angled triangle with sides a, b, c representing the opposite, adjacent and hypotenuse sides respectively, and an angle A° opposite the side a

Then,

Sin A° = a/c

Cos A° = b/c

Tan A° = a/b

Hence,

Sin 20° = 10/c

c = 10/Sin 20°

c = 29.24 centimeters

Answer 2

sin(angle)=opposite leg/hypotenuse

sin(20) = 10/ hypotenuse

hypotenuse = 10/sin(20) = 29.238 ( round off as necessary)