Respuesta :

Answer:

4. 50.19°

5. 25.19°

Step-by-step explanation:

4. Reference angle = x°

Opposite = 6 units

Adjacent = 5 units

Thus,

[tex] tan(x) = \frac{6}{5} [/tex]

[tex] tan(x) = 1.2 [/tex]

[tex] x = tan^{-1}(1.2) [/tex]

[tex] x = 50.19 [/tex] (nearest hundredth)

5. Reference angle = x°

Opposite = 48 - 5.2 = 42.8 ft

Adjacent = 91 ft

Thus,

[tex] tan(x) = \frac{42.8}{91} [/tex]

[tex] tan(x) = 0.47032967 [/tex]

[tex] x = tan^{-1}(0.47032967) [/tex]

[tex] x = 25.19 [/tex] (nearest hundredth)b