Answer:
33°
Step-by-step explanation:
A right triangle is formed based on the information given.
Use trigonometric ratio formula to find the number of degrees of the angle indicated with "?".
Let the angle = x°
162.5 yds is opposite to x°
298 yds is the hypotenuse of the right triangle formed.
Therefore, [tex] sin(x) = \frac{opposite}{hypotenuse} [/tex]
[tex] sin(x) = \frac{162.5}{298} [/tex]
[tex] sin(x) = 0.5453 [/tex]
[tex] x = sin^{-1}(0.5453) [/tex]
[tex] x = 0.5453 [/tex]
[tex] x = 33.0 [/tex]
