The ladder will reach 122 ft up the building.
The 120 feet of the extended ladder, since it will be leaning against the building, will be the hypotenuse of the right triangle. x will be the height from the top of the fire truck to the point where the ladder hits the building. 75° is the angle the ladder will make with the fire truck.
We have an angle, the side opposite the angle, and the hypotenuse. Opposite/hypotenuse is the ratio for sine, so we set up our equation as such:
x/120 = sin 75
Multiply both sides by 120:
120(x/120) = 120*sin 75
x = 120*sin 75
x ≈116
However, this is just from the top of the fire truck to the point where the ladder hits the building. We still add the 6 feet from the top of the truck to the ground. 116+6 = 122.
the scanner will help u have u tried it yet
Answer:
7/10
Step-by-step explanation:
2/5 multiply the denominator by 2 which will make it 10. Then multiply the numerator by 2 which will make it 4. So it will be 4/10. Then add 4/10 to 3/0 which makes 7/10.
Answer:
24 feet
Step-by-step explanation:
First, I used the proportion method to set up the numbers. I used x for the height of the tree.
x/45 = 6/11.25
Notice that the x and the 6 are both the heights of the tree and Dimitri and that they are both on the top of the fractions.
45 and 11.25 are the lengths of the shadows and they are both on the bottom of the fractions.
Next, I did 6 times 45 and got 270. Then I did 270 divided by 11.25 and got 24.
You're welcome! :)
Answer:
500 mL
Step-by-step explanation:
1 L = 1,000 mL
-> We use the formula of L * 1,000 = mL
1,000 mL / 2 = 500 mL
-> We only have half of the L, so we can divide it by 2 to get the correct number of mL
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
