We have two similar triangles, the one as a whole and the one inside of it. To calculate the height of the flagpole we can set up a proportion. First calculate the length of the base of the smaller triangle.
16.60 - 12.45 = 4.15m
The height is 1.65m, set up a proportion:

Cross multiply:

Divide 4.15 to both sides:

So the height of the flagpole is 6.6 meters tall.
The expression 163.28 + 75.459 is a sum expression, and the result of 163.28 + 75.459 is 238.739
<h3>How to solve the expression?</h3>
The expression is given as:
163.28 + 75.459
The expression is best solved using a calculator.
However, in the absence of a calculator, the following steps can be applied.
Expand each term
163.28 + 75.459 = 163 + 0.28 + 75 + 0.459
Reorder the terms
163.28 + 75.459 = 163 + 75+ 0.28 + 0.459
Add the decimals and integers
163.28 + 75.459 = 238.739
Hence, the result of 163.28 + 75.459 is 238.739
Read more about sum expressions at:
brainly.com/question/4344214
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Answer:
Step-by-step explanation:
Distance of (-3,4) to origin = √((-3)^2+4^2) = 5
sinθ = 4/5
cosθ = -3/5
tanθ = 4/(-3) = -4/3
cscθ = 1/sinθ = 5/4
secθ = 1/cosθ = -5/3
cotθ = 1/tanθ = -3/4
5 is not a function because if you draw a vertical line then it touches twice which is not a function
6 is a function
7 is not a function because there are 2 of the same inputs
8 is a function because it passes the vertical line test
9 is not a function
10 is a function
Hopefully that helped!
Answer:
The angles of a parallelogram are 135°-45°-135°-45°
Step-by-step explanation:
we know that
In a parallelogram opposites angles are congruent and consecutive angles are supplementary
Remember that
The sum of a exterior angle and its interior angle is equal to 180 degrees
Let
x ----> the measure of one interior angle of parallelogram
y ----> the measure of the other interior angle of parallelogram
we have that
solve for x

<em>Find the measure of the other interior angle of parallelogram</em>
Remember that consecutive interior angles are supplementary

substitute the value of x

solve for y

therefore
The angles of a parallelogram are 135°-45°-135°-45°