Question

The angle of elevation from ground level to the top of a water tower that is 280 ft away measures 27 degrees. What is the height of the tower?

Answer 1

We can draw

x represents the height of the water tower

we have a right triangle

we can use a trigonometric function

`\tan (27)=(x)/(280)`

we need to clear x

`x=\tan (27)\cdot280=142.66\text{ ft}`