Question

ramsay is standing 2906 ft away from the base of the Empire State building that is 1453 ft tall. what is the angle of elevation when she looks at the top of the building? round to the nearest hundredth?

Answer 1

Construct a triangle with sides 1453, as the height of the triangle, and 2906, as the base of the triangle.

Now, let x be the angle that meets the base of the triangle and the hypotenuse.


`\therefore tan(x) = (1453)/(2906)`

`x = tan^(-1)((1453)/(2906))`

`x = 26.56505...`

`x \approx 26.57` (nearest hundredth)