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The silhouette of a Christmas tree is an isosceles triangle. The angle at the top of the triangle is 30.0°, and the base measures 1.5 m across. How tall is the tree?

 Aug 27, 2014

Best Answer 

 #1
avatar+130514 
+5

Assuming that the base angles are the equal ones meauring 75° each, we can use the Law of Sines to find the height. We have....

  .75 m / sin (15 ) = h / sin (75)    multiply each side by sin(75)

(.75 m)(sin(75)/sin(15) = height = about 2.8 m

Here's a picture if the situation....

   

 Aug 27, 2014
 #1
avatar+130514 
+5
Best Answer

Assuming that the base angles are the equal ones meauring 75° each, we can use the Law of Sines to find the height. We have....

  .75 m / sin (15 ) = h / sin (75)    multiply each side by sin(75)

(.75 m)(sin(75)/sin(15) = height = about 2.8 m

Here's a picture if the situation....

   

CPhill Aug 27, 2014

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