Question

The angle of elevation to the top of a tall building is found to be 10° from the ground at a distance of 0.8 mile from the base of the building. using this information, find the height of the building.

Answer 1

Check the picture below.

`\tan(10^o )=\cfrac{\stackrel{opposite}{h}}{\underset{adjacent}{0.8}} \implies 0.8\tan(10^o)=h \implies \stackrel{ miles }{0.14}\approx h`

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