9.10' is how many times as large as 3. 10%
1 answer:
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Answer:
40 gallons
Step-by-step explanation:
Let the number of gallons that would completely fill the bathtub be represented by N.
Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;
30% of N = 12
x N = 12
30N = 12 x 100
30N = 1200
divide both sides by 30,
N =
= 40
The number of gallons that would completely fill the bathtub is 40 gallons.
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.