Respuesta :

Answer:

x = 9.7

Step-by-step explanation:

Reference angle (θ) = 68°

Opposite = 24

Adjacent = x

Apply, the trigonometric function, TOA which is:

[tex] tan (/theta) = \frac{Opp}{Adj} [/tex]

Plug in the values

[tex] tan 68 = \frac{24}{x} [/tex]

Multiply both sides by x

[tex] x*tan 68 = 24 [/tex]

Divide both sides by tan 68

[tex] x = \frac{24}{tan 68} [/tex]

x = 9.69662942

x = 9.7 (nearest tenth)