How many gallons of water can fill a pool that is 50 yards by 20 yards and is 9 feet deep? (Assume 7 1/2 gallons per cubic foot.
2 answers:
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We need to solve for the height of the tree given two angles and distance between the two observers. See attached drawing for a better understanding of the problem.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)
sin 45 (100-x) = xsin30
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44
Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22
The height of the tree is 29.22 feet.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)
sin 45 (100-x) = xsin30
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44
Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22
The height of the tree is 29.22 feet.
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Answer:
24m^14
Step-by-step explanation:
It looks like you want to simplify ...
__
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
Answer:
see the procedure
Step-by-step explanation:
Remember that
To convert feet to inches multiply by 12
To convert minutes to seconds multiply by 60
we have