The answer is the the option a: a.[tex] 29.4 degrees [/tex]
The explanation for this problem is shown below:
1. You have that the clown’s mouth is [tex] 3.5 ft [/tex] above the green and the person is [tex] 6.2 ft [/tex] from the clown. Therefore, you have:
[tex] Tan^{-1}(\alpha )=\frac{opposite}{adjacent} [/tex]
The opposite side is [tex] 3.5 ft [/tex] and the adjacent side is [tex] 6.2 ft [/tex]
2. Now, you can substitute the values and calculate the angle [tex] \alpha [/tex]:
[tex] Tan^{-1}(\alpha )=\frac{3.5}{6.2}\\\alpha =29.4degrees [/tex]
