Find the side labeled X in the picture, then round to 5 decimal places.

Solution:

Since x is not marked we consider two alternatives

(A) Assume hypotenuse is x

sin34° = 14/hypotenuse(x)

x = 14/sin34°

x = 14/0.5592 = 25.04472

(B) Assume base = x

tan34° = 14/x

x = 14/tan34° = 14/0.67451 = 20.75585

Find the side labeled X in the picture, then round to 5 decimal places.

Summary:

The side labeled X in the picture is 25.04472 or 20.75585