Respuesta :

Answer: [tex]46^{\circ}[/tex]

Step-by-step explanation:

Given

Perpendicular corresponding to [tex]\angle x[/tex] is 21 units

The hypotenuse is 29 units

Using trigonometry we can write

[tex]\Rightarrow \sin x=\dfrac{21}{29}\\\\\Rightarrow \sin x=0.7241\\\\\Rightarrow x=\sin^{-1}(0.7241)=46.39^{\circ}\approx 46^{\circ}[/tex]

Option (d) is correct