Question

A right triangle has one side that measures 4in. The angle opposite that side measures 80 degrees. What is the length of the hypotenuse of the triangle?

Answer 1

Hello from MrBillDoesMath!

Answer:

4/sin(80)

which is approximately 4.06

Discussion:

From the triangle, not drawn too accurately  (see attachment)

sin(80) = side opposite /hypotenuse   =>

sin (80) =  4/c            =>       multiply both sides by "c"

c sin(80) = 4/c * c      =>      

c sin(80) = 4               =>      divide both sides by sin(80)

c = 4/sin(80)

and 4/sin(80) is approximately 4.06

Thank you,

MrB