The formula for the area of a sector in radians is

, where theta is the angle in radians. For us, the formula looks like this:

. Doing all the multiplication on that gives us

. Multiplying in pi and rounding to the nearest tenth gives us an area of 76.3 meters squared. You can use the formula for the area of a sector with the angle in degrees as well. Just replace the 360 degrees with 2pi and it works the exact same way.
Answer:
86.63 ft
Step-by-step explanation:
The tangent relation applies.
Tan = Opposite/Adjacent
tan(77°) = (tree height)/(20 ft)
tree height = (20 ft)·tan(77°) ≈ 86.63 ft
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<em>Additional comment</em>
It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.
Answer:
^
Step-by-step explanation: