The height of the ladder on the building is 19.77 feet
<h3>How high does the ladder reach on the building?</h3>
Represent the height of the ladder on the building with h
So, the given parameters are:
Angle, x = 64 degrees
Length of ladder, l = 22 feet
The height of the ladder on the building is calculated using
sin(x) = h/l
Substitute the known values in the above equation
sin(64) = h/22
Multiply both sides by 22
h = 22 * sin(64)
Evaluate the product
h = 19.77
Hence, the height of the ladder on the building is 19.77 feet
Read more about elevation angles at
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Using the combination formula, it is found that she can shoot the ducks in 120 ways.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:

In this problem, 3 ducks will be shoot from a set of 10, hence:

Thus, she can shoot the ducks in 120 ways.
More can be learned about the combination formula at brainly.com/question/25821700
Answer:

Step-by-step explanation:
--- 1
--- 2
---3
-1 times the second equation =
=
--4
Now we are given that replace the third equation by the sum of itself and -1 times the second equation
So, New third equation = 
= 
Hence the new third equation is 
Answer:
h = 9 cm
Step-by-step explanation:
A rectangular pyramid has a volume of 315 cm^3.
The base has a width of 15 cm and a length 7 cm.
Find the height h of the pyramid .
<u>Vol = 1/3 (base area) h</u>
where base area = 7 x 15 = 105 cm²
vol = 315 cm³
plugin values into the formula
315 = 1/3 (105) h
h = <u> 315 </u>
(1/3 * 105)
h = 9 cm
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That link is very bad , hope this help 12-13