Answer
a) $θ =$sin$^{-1}(\frac{h}{680})$
b) 0.83 radians
Work Step by Step
a) Since the sides that are marked belong to the opposite of the angle and the hypotenuse, the trigonometric function that works here is sine. Sine is opposite over hypotenuse. So,
sin $θ=(\frac{h}{680})$
solving for θ gives:
a) $θ =$sin$^{-1}(\frac{h}{680})$
b) using the equation found before, we substitute $h$ for $500$:
$θ=$tan$^{-1}(\frac{500}{680})$
$θ=$tan$^{-1}\frac{25}{34})$
$θ\approx0.83$ radians
