Answer:
3x-x+2=4
Step-by-step explanation:
If you draw out a diagram of the situation, the height of the person is 5.5 feet, standing 25 feet away from the tree. then the person looks up at a 71 degree angle with the top of the tree, it should look like a right triangle on top of a rectangle.
We know the angle she's looking at (71 degrees) and the side adjacent to the angle (the distance she is away from the tree, 25 feet). Using tangent we can solve for the opposite side.
tan(71 degrees) = x ÷ 25
25 tan (71 degrees) = x
x is about 72.6 feet
that's the height from her eyes to the top of the tree.
To get the height of the tree you add how high above the ground her eyes are (5.5 feet) to x (72.6 feet)
72.6 + 5.5 = 78.1 feet
that should be the height of the tree
Answer:
From the law of sines, we have:
,
where x and y are the sides opposite to angles X and Y, respectively.
Substituting the known values, we have:
, thus
.
Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.
We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.
Thus, there is only one triangle that can be formed under these conditions.
Hope this helps!
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Calculate the spray interval to spray 5 times a day
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one day = 24 hour
24 ÷ 5 = 4.8 hours
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Find the interval in minutes
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4.8 hours = 4h 48 mins
4.8 hours = (4 x 60) + 48
4.8 hours =288 mins
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Answer: 288 mins
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