Answer: b. 59º
Step-by-step explanation:
In the picture we have given a right triangle .
Hypotenuse= 82 ft.
The side adjacent to [tex]\theta[/tex] = 42 ft.
Trigonometry says that ,
[tex]\cos\theta=\frac{\text{side adjacent to }\theta}{\text{Hypotenuse}}\\\\\Rightarrow\ \cos \theta=\frac{42}{82}\\\Rightarrow\ \cos\theta=0.5121\\\Rightarrow\ \theta=cos^{-1}(0.5121)\\\Rightarrow\ \theta=59.196188\approx59^{\circ}[/tex]
Hence, [tex]\theta=59^{\circ}[/tex]
