contestada

The angle of elevation from a ship to the top of a cliff on the coastline is 4.5°. The cliff is 375 feet in height. How far is the ship from the base of the cliff? Round to the nearest tenth.

The angle of elevation from a ship to the top of a cliff on the coastline is 45 The cliff is 375 feet in height How far is the ship from the base of the cliff R class=

Respuesta :

Solution:

The given information would be illustrated with the image below as;

We would apply the tangent ratio. Let x be the distance between the base of cliff and the ship. We have;

[tex]\begin{gathered} \tan \theta=\frac{opposite}{adjacent} \\ \tan 4.5^o=\frac{375}{x} \\ \\ \end{gathered}[/tex]

Then, we have;

[tex]\begin{gathered} x=\frac{375}{\tan4.5^o} \\ x=4764.8ft \end{gathered}[/tex]

FINAL ANSWER:

[tex]4764.8\text{feet}[/tex]

Ver imagen CorriganP567944

Otras preguntas