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A tall pole is constructed in a flat parking lot; the pole stands straight up and forms a right angle with the ground. The pole casts a shadow, as shown below. The length of the shadow is 12 feet. Find the height of the pole, to the nearest foot. You may use a calculator.

 Mar 24, 2020

Best Answer 

 #1
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NOT CPhil here...

Remember  TAN function in a RIGHT triangle = opposite side / adjacent side ?

 

The opposite side is the height of the pole.....the adjacent side is given as 12 ft

 

SOOOO   tan 70 = 2.747 (from calculator)   and this = opposite/ adjacent   =   height /12

 

2.747 = height /12       Multiply both sides of this equation by 12

 

2.747 (12)  = height in feet      You can punch the numbers in your calculator           Ta Da !     cheeky

 Mar 24, 2020
edited by ElectricPavlov  Mar 24, 2020
 #1
avatar+23710 
+2
Best Answer

NOT CPhil here...

Remember  TAN function in a RIGHT triangle = opposite side / adjacent side ?

 

The opposite side is the height of the pole.....the adjacent side is given as 12 ft

 

SOOOO   tan 70 = 2.747 (from calculator)   and this = opposite/ adjacent   =   height /12

 

2.747 = height /12       Multiply both sides of this equation by 12

 

2.747 (12)  = height in feet      You can punch the numbers in your calculator           Ta Da !     cheeky

ElectricPavlov Mar 24, 2020
edited by ElectricPavlov  Mar 24, 2020
 #2
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just as good, thanks!

Guest Mar 24, 2020

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