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14. A surveyor observes that the top of a building makes an angle of 32° with the road.From another location 300 ft. from the base of the building, the angle of elevation is 22°How far is the base of the building from the first observation point, ×, on the road?

14 A surveyor observes that the top of a building makes an angle of 32 with the roadFrom another location 300 ft from the base of the building the angle of elev class=

Respuesta :

Considering h as the height of the building, we have the following set of relations for a right triangle:

[tex]\begin{gathered} 300\cdot x=h^2 \\ h=300\cdot\tan22\degree \\ h\approx121\text{ ft} \\ \therefore x=\frac{121^2}{300}\approx49\text{ ft} \end{gathered}[/tex]

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