Answer: The height of the tree is 21 feet.
Step-by-step explanation:
Here we can assume that the angle at which the sun impacts the photographer and the tree to be the same angle.
Then we can think in both cases as triangles rectangles, where the height is a cathetus, and the shadow is the other cathetus.
Then we will have a relationship like:
Tg(angle) = shadow/height
height = shadow/Tg(angle)
Now, because for both triangles we have the same angle, then Tg(angle) will be the same number for both cases, and we can just think of it as constant K
Tg(angle) = K
Then we have the equation:
Height = Shadow/K
We know that the photographer is 6ft tall, and his shadow is 2 ft long, we can replace those two things in the above equation and find the value of k:
6ft = 2ft/K
K = 2ft/6ft = (1/3)
Now we know that the shadow of the tree is 7ft long, then the height will be:
height = 7ft/(1/3) = 7ft*3 = 21ft
The tree is 21 ft tall.
Answer:
X=-7
Step-by-step explanation:
X + 142=135°
X=135-142
X=-7
So the value of X is -7
Answer:
y = 15x + 20
Step-by-step explanation:
He charges a flat rate of $20, so any total for hours worked will have an additional $20 added to it.
The 15x represents his earnings per hour. He makes 15 per every hour worked, x represents the number of hours worked
The answer is 39.
Explanation:
To find the x, you need to start by adding your “like” terms on each side of the equal sign. This means the parts that you can add together. So, on the left side, you would add 3 and -9 together, which will make -6. Then, you would add x and 8x together, which would make 9x. So your left side will look like “9x-6”. There is nothing you can add together on the right side, so now you move on to the second step: combining the terms on both sides. You can do this by knowing that the opposite of subtraction is addition, and it’s the same the other way. Let’s look at our equation now:
9x-6=7x+4
9x and 7x are “like terms” so we can subtract. So now we have:
2x-6=4
We still need to make x be by itself, so now we can move the -6 over to the 4. We add because the opposite of subtraction is addition. So now we have:
2x=10
When a number is next to a missing number, that means they are being multiplied, and the opposite of multiplication is division. So we can divide 10 by 2, which equals five. So, x=5 and we can add that to our other missing number, CE. Replace “x” with “5” and you will see that CE=39.
