Respuesta :

Use inverse to solve this problem. Tan-1(5/27). =10.491 which rounded to the nearest degree equals 11.
For the angle marked x, 5 ft is the opposite leg, and 27 ft is the adjacent leg.
The trig ratio that relates the opposite leg and the adjacent leg is the tangent.

[tex] \tan \theta = \dfrac{opp}{adj} [/tex]

[tex] \tan x = \dfrac{5~ft}{27~ft} [/tex]

[tex] x = \tan^{-1} \dfrac{5}{27} [/tex]

[tex] x = 10.491477^\circ [/tex]

Rounded to the nearest degree, the answer is 10 degrees.