146k views
0 votes
14) The angle of elevationfrom a point 116 meters fromthe base of the Eiffel Towerto the top of the tower is68.9°. Find the approximateheight of the tower to thenearest meter.

1 Answer

1 vote

Given data:

The given angle of elevation is θ= 68.9°.

The horizontal distance is d=116 m.

The expression for tanθ is,


\begin{gathered} \tan \theta=(h)/(d) \\ \tan (68.9^(\circ))=\frac{h}{116\text{ m}} \\ h=300.62\text{ m} \\ \approx301\text{ m} \end{gathered}

Thus, the height of the tower is 301 m.

User Kmsquire
by
6.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.