During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of 65degrees 14feet from its base.
How tall was the pole before the windstorm? Round your answer to one decimal place. Can someone answer this please

Question

austade2000 austade2000

01-11-2014
Mathematics

Answered

During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of 65degrees 14feet from its base.
How tall was the pole before the windstorm? Round your answer to one decimal place. Can someone answer this please

Answer :

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Liamdev631 Liamdev631 · Answer 1 · 2014-11-01T13:14:54-04:00

The situation in the problem creates a right triangle with a base of 14ft. An angle of 65 degrees means that the triangles has...

A hypotenuse of [tex]hyp = \frac{14ft}{cos(45)} = 33.13ft[/tex], representing the length of the broken part of the pole.

An opposite of [tex]sin(65)*hyp = sin(65)*33.1ft = 30.0ft[/tex], representing the height of the part of the flag that still stands.

The total original flag height is the sum of the two parts.
[tex]h = 30.0ft + 33.13ft = 63.13ft[/tex]

During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of 65degrees 14feet from its base. How tall was the pole before the windstorm? Round your answer to one decimal place. Can someone answer this please

Answer :

Other Questions

During a windstorm, part of the top of a flagpole breaks off. The broken top portion touches the ground at an angle of 65degrees 14feet from its base.
How tall was the pole before the windstorm? Round your answer to one decimal place. Can someone answer this please