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The angle of elevation to the top of a tree is 35o from a point 28 ft away from the foot of the tree. Find the height of the tree rounded to the nearest foot.

 Jul 28, 2014

Best Answer 

 #1
avatar+4473 
+10

To find the height, you need to draw a picture to visualize the situation (see picture at bottom):

Notice we have an angle of 35 degrees, an adjacent side and an opposite side.

opposite/adjacent = tan theta(angle) -->

tan(35 degrees) = opposite/28 -->

The opposite side is what we are trying to find (height of tree or simply x) -->

x = 28*tan(35 degrees) = 19.6058... --> 20 feet.

 Jul 28, 2014
 #1
avatar+4473 
+10
Best Answer

To find the height, you need to draw a picture to visualize the situation (see picture at bottom):

Notice we have an angle of 35 degrees, an adjacent side and an opposite side.

opposite/adjacent = tan theta(angle) -->

tan(35 degrees) = opposite/28 -->

The opposite side is what we are trying to find (height of tree or simply x) -->

x = 28*tan(35 degrees) = 19.6058... --> 20 feet.

AzizHusain Jul 28, 2014

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