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1 answer:
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Answer:
radius = 5 in
Step-by-step explanation:
Using the formula for calculating the area (A) of a circle
A = πr² ( r is the radius )
here A = 78.5, hence
3.14r² = 78.5 ( divide both sides by 3.14 )
r² = = 25 ( take the square root of both sides )
r = = 5
9514 1404 393
Answer:
195 ft
Step-by-step explanation:
The relationship between the horizontal distance, angle, and vertical height is given by ...
Tan = Opposite/Adjacent
Referring to the attached diagram, we have ...
tan(16°) = BT/MB
tan(25°) = BK/MB
Solving for BT and BK, we can describe their difference as ...
BT = MB·tan(16°)
BK = MB·tan(25°)
BK -BT = 35 = MB(tan(25°) -tan(16°))
Dividing by the coefficient of MB gives ...
MB = 35/(tan(25°) -tan(16°)) = 35/0.179562
MB = 195 . . . feet
Marcos is standing 195 feet from the base of the tree.
