Answer: The height of the building is 108 ft
The following is the illustration of the above question
The height of the building can be calculated using SOH CAH TOA
opposite side = x ft
Adjacent sides = 25 ft
[tex]\begin{gathered} \text{Tan}\theta\text{ = }\frac{opposite}{\text{adjacent}} \\ \text{Tan 77 = }\frac{x}{25} \\ \text{Cross multiply} \\ x\text{ = tan 77 x 25} \\ \text{Tan 77 = 4.33} \\ x\text{ = 4.33 x 25} \\ x\text{ = 108.286 ft} \\ x\text{ = 108 ft} \end{gathered}[/tex]
