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:
3/4 cups of flour are needed.
Step-by-step explanation:
(3 2/3)/1=(2 3/4)/x
(11/3)/1=(11/4)/x cross multiply.
11x/3=11/4 cross multiply.
4*11x=3*11
44x=33
x=33/44
x=3/4
I got ten. Here's the equation.
x = 1/2x + 5
<span>Subtract 1/2x from both sides to get all x's on one side </span>
<span>x - 1/2x = 1/2x - 1/2x + 5 </span>
<span>1/2x = 5 </span>
<span>Now multiple the left by 2 to get x, but since it's an equation, you need to also multiply the right by 2 to keep it =. </span>
<span>2 * 1/2x = 2 * 5 </span>
<span>x = 10 cats</span>
Answer: x=15
Step-by-step explanation: Since 3x+5 is equal to 50, you can write 3x+5=50, and 3x=45, x=15.
Answer:
134
Step-by-step explanation:
This equation follows y=mx+b
y = output
x = input
(In this case) 8 = slope
(In this case) 134 = y-intercept
