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A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and is attached 10 m from the bottom of the pool how long is the rope in how tall is the flagpole

1 Answer

3 votes

Answer:


5.77\ \text{m}


11.54\ \text{m}

Explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m


\theta = Angle between the rope and the ground =
30^(\circ)


\tan\theta=(p)/(b)\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^(\circ)\\\Rightarrow p=5.77\ \text{m}

The length of the rope is
5.77\ \text{m}


\cos\theta=(b)/(h)\\\Rightarrow h=(b)/(\cos\theta)\\\Rightarrow h=(10)/(\cos30^(\circ))\\\Rightarrow h=11.54\ \text{m}

The length of the pole is
11.54\ \text{m}

A flag pole has a rope that attaches to the ground from the top of the flagpole the-example-1
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