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.
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.
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.