Question

The tallest church tower in the Netherlands is the Dom Tower in Utrecht. If the angle of elevation to the top of the tower is 77° when 25.9 m from the base, what is the height of the Dom Tower to the nearest metre.

Answer 1

Height of the Dom is 112.18 m.

Explanation:

The tallest church tower in the Netherlands is the Dom Tower in Utrecht. The angle of elevation to the top of the tower is 77° when 25.9 m from the base. It is required to find the height of the Dom Tower. Let its height is h. So, using trigonometric formula to find it as :

`\tan\theta=(h)/(b)\\\\\tan(77)=(h)/(25.9)\\\\h=\tan(77)* 25.9\\\\h=112.18\ m`

So, the height of the Dom is 112.18 m.