Answer:
the distance is 16
Step-by-step explanation:
Hi there!
We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points
the distance formula is given as
where (
,
) and (
,
) are points
we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion
=-4
=-13
=-4
=3
now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

simplify

now add the values inside the parenthesis that are under the radical

raise everything under the radical to the second power

add under the radical

now take the square root of 256
=16
so the distance between point A and point B is <u>16</u>
Hope this helps! :)
Answer: 113.0 ft (bottom right corner)
=====================================
Explanation:
The triangle has a horizontal leg of 220 ft and a vertical leg of x ft. We'll use the tangent rule to connect the opposite side and adjacent side
opposite side = x
adjacent side = 220
this is with the reference angle shown in the diagram
So,
tan(angle) = opposite/adjacent
tan(26) = x/220
220*tan(26) = x
x = 220*tan(26)
x = 107.301169 ... see note below
x = 107.3
Now that we know the approximate value of x, we add on 5.7 to get
x+5.7 = 107.3+5.7 = 113.0
note: make sure your calculator is in degree mode. The value is approximate to 6 decimal places
Answer:
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Step-by-step explanation:
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