GEOM 2| Lesson 2| Practice 3 Solutions

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.

 

 

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