Two redwood trees are the same height. A third tree's height is x feet. The first tree is 50 feet more than three times the heig
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Answer:
<em>Corey stepped back 59.71 feet</em>
Step-by-step explanation:
<u>Right Triangles </u>
They are a special type of triangle where one of its internal angles is 90°. The basic trigonometric equations stand in this type of triangles. If x is the adjacent leg of a given angle , and y is the opposite leg to the same angle, then
:
We can solve for x to get
Corey estimates the height of the tree to be 80 feet. This means we know y=80 and . Let's find the horizontal distance at which Corey is looking at the bald eagle:
Now Corey moves back to watch the very same tree at an elevation angle of 41°. The tree has the same height, so
Now we can know the distance Corey walked back by subtracting both distances