Question

7. Find the value of x. Round to the nearest tenth of a unit. (2 points)

27°
work:
21
х
X =

Answer 1

41.2

Explanation:

By the alternate interior angles theorem, the angle of depression is congruent to the angle of elevation.

This means that tan(27)=21/x.

x(tan 27)=21

x=21/(tan 27), which is about 41.2