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The Seattle Space Needle casts a 67-meter shadow. If the angle of elevation from the tip of the shadow to the top of the Space Needle is 70º, how tall is the Space Needle? Round to the nearest meter.

 May 20, 2021
 #1
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We  can  use  the   tangent here

 

tan 70°  =  height of needle /  length of  shadow

 

tan 70°  =  h  / 67        rearrange  as

 

67 * tan 70°  =  h  ≈   184  m

 

 

cool cool cool

 May 20, 2021
edited by CPhill  May 20, 2021

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