Question

The towers of a suspension bridge reach about 140 mabove the level of the bridge. The angles of elevationof the towers seen from the center the bridge andeither end are 10° and 19° respectively. How long isthe bridge?1910%19140m

Answer 1

Given:

A bridge with different values

Required:

To calculae the length of bridge

Explanation:

We are going to use the application of tangents

$\begin{gathered} length=(\frac{140}{tan\text{ 19}\degree}+\frac{140}{tan\text{ 10}\degree})\times2 \\ \\ \text{ =\lparen}\frac{140}{0.34}+\frac{140}{0.18})\times2 \\ \\ =1189.54\times2\text{ \lparen The bridge is symmetric\rparen} \\ \\ =2379.08m \end{gathered}$

Required answer:

=2379.08 m