Answer: 1.5625
Step-by-step explanation: just a calculator
Answer: First option: 800 feet
Solution:
Height: h=400 sqrt(3)
Distance between the zoo and the point in the ground below the helicopter: d1=?
Distance between the library and the point in the ground below the helicopter: d2=?
Distance between the zoo and the library: d=?
d=d2-d1
tan 60°= h/d1
sqrt(3)=400 sqrt(3) / d1
Solving for d1:
sqrt(3) d1 = 400 sqrt(3)
d1= 400 sqrt(3) / sqrt(3)
d1=400
tan 30°= h/d2
sqrt(3) / 3=400 sqrt(3) / d2
Solving for d2: Cross multiplication:
sqrt(3) d2 = 3 [ 400 sqrt(3) ]
sqrt(3) d2 = 1,200 sqrt(3)
d2= 1,200 sqrt(3) / sqrt(3)
d2=1,200
d=d2-d1
d=1,200 feet - 400 feet
d=800 feet
Answer:
Translation is moving an object to one place to another.
Step-by-step explanation:
Answer:
8 green picks
Step-by-step explanation:
Since this problem is a ratio that also gives a total, setting up equivalent ratios in a table with the total would be a good way to find the answer. Since there is 1 orange pick for every 2 green picks and there are a total of 12 picks, we can set up the following:
Orange 1 2 3 4 5
Green 2 4 6 8 10
Total 3 6 9 12 15
You can see from the table, that when there are 12 total picks, 4 of them are orange and 8 of them are green.
The correct answer is 13.86.
In order to find this, we must first note that the tangent of any angle is equal to the opposite side length over the adjacent side length. If we use that formula and the 60 degree angle, we can find y.
Tan(angle) = Opp/Adj
Tan(60) = y/8
8Tan(60) = y
13.86 = y
