1. 
\(tan 15˚ =\Large \frac{10,000}{x}\)
\(x = \Large\frac{10,000}{tan 15˚}\) so \(x = 37,320.5\) ft.
2. 
\(tan 12˚ = \Large\frac{12,000}{x}\)
\(x = \Large\frac{ 12,000}{tan 12˚}\) or \(x = 56,455.6\) ft
Using the pythagorean theorem, find \(y\): \(y = 57,716.8\) ft
3.
\(tan 35˚ = \Large\frac{x}{25}\)
\(x = 25 tan 35˚\) ; \(x = 17.5\) ft
But 5.5 needs to be added to it as the angle of elevation was taken from eye height.
The tree is \(23\)ft.
Return to Practice 3