Answer:
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55 degrees
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Step-by-step explanation:
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In the initial position, the angle of elevation of the 20 meter building to your feet is 45 degrees, that means that you are at 20 meters from the building (thus forming an isosceles triangle with with the building, with internal angles 456 degrees, 90 degrees, and 45 degrees.
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When you walk 6 meters towards the building, you are now at 14 meters from it. Therefore you need to examine now another triangle where the angle is unknown but for which you know the opposite side (20 meters of the building's height), and the adjacent side (14 meters of your distance to the building). See image attached for more clarity on the picture you need to study.
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The tangent of this new angle is defined as opposite side divided by adjacent (opp/adj) which in our case renders 20/14 = 10/7
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So to find the angle, we need to apply the arctangent function to this value.
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Therefore:
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<em>new angle = arctan(10/7) = 55 degrees</em>
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Answer:
good
those desert people ought to use less water
Answer:
G, 7 cm
Step-by-step explanation:
the volume of a box is V = lwh
in this problem, we know the volume, length, and width and we are asked to find the height. lets plug in the known values into the formula
378 = (6)(9)h <multiply 6 and 9 together
378 = 54h
now we want to divide both sides by 54 to get <em>h</em> alone, and we will have our answer for the height
378/ 54 = 7
54h/54 = h
h = 7
our height for this box is 7 cm, we can plug this into the original equation to check, but it is not necessary
Increasing the sample size by a factor of 4 or multiplying
it by 4 is equal to increasing the standard error by 1/2. Therefore, the
interval will be half as varied. This also works almost for population
averages as lengthy as the multiplier from the t-curve doesn't modify much when
increasing the sample size.
Solution:
We are going to find the distance between points A -4; 2, B 3; -5 :
d = √ (xb - xa) 2 + (yb - ya) 2 =
= √ (3 - (-4)) 2 + (-5 - 2) 2 =
= √72 + (-7) 2 = √49 + 49 =
= √98
= 7√2 ≈ 9.899494936611665
