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 tall pole trig

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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. Answer with an exact number.

 

 Feb 5, 2021

3+0 Answers

 #1
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tan of an angle in a right triangle is opposite side divided by adjacent side

 

tan 80 = height / 12

12 * tan 80 = height  = 108.04 ft

 Feb 5, 2021
 #3
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tan(80)*12 = 68.05   ft    sorry....the web2.0 calculator was in 'Radian' mode rather than degree mode !

Guest Feb 5, 2021
 #2
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+1

height of pole  = 12 tan 80°   ≈  68 ft

 

P.S.  -  I think the guest forgot  to change  his calcullator  mode to  degrees

 

cool cool cool

 Feb 5, 2021
edited by CPhill  Feb 5, 2021

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