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The top of a 15 metre high tower makes an angle of elevation of 60º with the bottom of an electric pole and angle of elevation of 30º with the top of the pole. What is the height of the electric pole?(in metres)

 Feb 4, 2021

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The top of a 15 metre high tower makes an angle of elevation of 60º with the bottom of an electric pole and angle of elevation of 30º with the top of the pole. What is the height of the electric pole?(in metres)

 

Hello Guest!

 

The pole is \(15m\cdot tan( 30°)\) away from the tower. So

 

\(15m-x=15m\cdot tan^2 (30°)\\ x=15m\cdot(1-tan^2(30^°))\)

\(x=10m\)

 

The height of the electric pole is 10m.

laugh  !

 Feb 4, 2021
 #1
avatar+11086 
+2
Best Answer

The top of a 15 metre high tower makes an angle of elevation of 60º with the bottom of an electric pole and angle of elevation of 30º with the top of the pole. What is the height of the electric pole?(in metres)

 

Hello Guest!

 

The pole is \(15m\cdot tan( 30°)\) away from the tower. So

 

\(15m-x=15m\cdot tan^2 (30°)\\ x=15m\cdot(1-tan^2(30^°))\)

\(x=10m\)

 

The height of the electric pole is 10m.

laugh  !

asinus Feb 4, 2021

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