Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
Answer:
hope this helps (look in the picture)
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Let the total number of donuts in the pack be x.
Amy = 2/3x
Anna = 1/4x
David = 1
x - 2/3x - 1/4x = 1
Find common denominators for 2/3 and 1/4
The common denominator is 12
2/3 * 4/4 = 8/12
1/4 * 3/3 = 3/12
x - 8/12x - 3/12x = 1
x - 11/12x = 1
1/12x = 1
x = 12
You can always check
Amy = 8
Anna = 3
So David must equal to 1
Hope this helps :)
Have an awesome day!
Conversions: to smallest (inches)
n= 22 inches
b= 2 1/3 yard = 84 inches
t= 12 1/2 feet = 150 inches
total space = t
night stand = n (2n for two nightstands)
bed=b
b+2n has to be < or = to t
84+2(22)=x
84+44=128
128 is < 150
therefore the answer is yes they will fit with 22 inches left over.
Answer:
15%
Step-by-step explanation:
Find the percent of profit by dividing 45 by 300:
45/300
= 0.15
So, the percent profit was 15%
