48.5 inches is the answer
The height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Angle = 71 degree
Distance between A and B = 20 meters
Let's suppose the height of the building is x meters.
From the right angle triangle applying the tan ratio:
tan71 = x/20
x = 58.08 meter
Thus, the height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.
Learn more about trigonometry here:
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Use BODMAS or BIDMAS (Brackets, over Indices, Division, Multiplication, Addition, the Subtraction, this tells you which order to do things in)
As you cant do √10 in the brackets you do the indices, so (√10)³
Split this up to make it easier
(√10)³= √10 x √10 x √10 = 10√10
You the multiply this by 9
9 x 10√10 = 90√10
then multiply by 5
5 x 90√10 = 450√10 = 1423.024947 (using calculator)
Assuming that the aquarium is rectangular, the formula to work out the volume would be
V = L x H x D
Considering that 1 gallon = 231 inches³
Multiply both by 33.75 to get the total number of inches³ (volume)
231 x 33.75 = 7796.25 inches³
If you also want the depth, read on...
Also, there are 12 inches in one foot
Length = 2 x 12 = 24 inches
Height = 1.5 x 12 = 18 inches
Now we can fill in the information we know
7796.25 = 24 x 18 x D
To work out D, we divide the volume by the values we know
7796.25 / 18 = <span>433.125
433.125 / 24 = </span><span>18.046875 inches
</span>18.046875 / 12 = 1.50390625 feet
To the nearest 2d.p. ≈ 1.5 feet
Answer:
Step-by-step explanation:
2/3*(-2/1)

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