An electrical tower casts a 120-foot shadow. At the same time, a 10-footstreet sign casts a shadow of 8 feet. What is the height of the tower?
O A. 270 ft
O B. 150 ft
O C. 120 ft
O D. 180 ft
Answers
Set up a ratio with the height over the shadow.
Let the height of the tower be X
The ratio of the tower is x/120
The ratio if the sign is 10/8
Set them to equal and solve for x:
x/120 = 10/8
Cross multiply:
8x = 1200
Divide both sides by 8:
x = 1200/8
x =150
The answer is B. 150 ft.
Answer:
B. 150 feet.
Step-by-step explanation:
The tower and the street sign and their shadows form 2 similar triangles.
So the corresponding lengths are in the same ratio, then:
120 / 8 = h / 10 where h is the height of the tower.
8h = 120 * 10
h = 120 * 10 / 8
= 150 feet.
Related Questions
What two numbers Add into -17 but and multiply into 10
45/99 in a decimal form
Can someone explain this to me
A ray bisects an obtuse angle into 2 congruent angles. what type of angle are those 2 congruent anglesa. acute b. rightc. obtused. straight
Answers
4h=24
Then divide by 4:
h=6
With these problems, use the steps of either
PEDMAS, or Please Excuse My Dear Aunt Sally.
the P stands for Parenthesis, the E for exponents, the M for multiplication, the D for division, the A for addition, and the S for subtraction
The solution to the equation 4h + 6 = 30 is h = 6.
We have,
To solve the equation 4h + 6 = 30, we need to isolate the variable h.
First, we can subtract 6 from both sides of the equation:
4h + 6 - 6 = 30 - 6
4h = 24
Next, we divide both sides of the equation by 4 to solve for h:
4h/4 = 24/4
h = 6
Therefore,
The solution to the equation 4h + 6 = 30 is h = 6.
Learn more about equations here:
#SPJ6
Answers
Answer16
Step-by-step explanation:
8*2=16
Half of 10 is 5
Then she bought 8
Now she has 13
Answers
for # 10- 13, you need to have the same number on the bottom of all the numbers being subtracted, that means turning the number that aren't fractions (like 4) into fraction, and then into fractions with the same denominators.
10)
11)
Answers
Final answer:
Josie must read 22 pages per day in order to finish her 1364 page book over a 62-day summer vacation.
Explanation:
This question is about dividing a total quantity into equal daily amounts. It requires the use of division in mathematics. To find out how much Josie needs to read each day, we need to divide the total number of pages (1364) by the total number of days (62).
The division equation is: 1364 ÷ 62 = 22.
So, Josie needs to read 22 pages each day in order to complete her book in the given time period.
Learn more about Division here:
#SPJ2
Answers
Then take 3500 and divide it by 7 which makes 500 thumb tacks.
I think idk though.
Final answer:
To find out how many thumbtacks are in the box, first convert the total mass of the box from grams to ounces using a conversion factor. Then, divide the total weight of the box in ounces by the weight of one thumbtack.
Explanation:
To answer the question about the number of thumbtacks in a box totaling 3500g in mass, we first need to convert the total mass of the box to the same units as the mass per thumbtack, in this case, ounces.
From the relationship, we know that 1 oz = 28.349 g. We can convert the mass of the box into ounces by multiplying the grams by the unit conversion factor. So the weight of the box in ounces is 3500 g * (1 oz / 28.349 g).
To find the number of thumbtacks in the box, then divide the total weight of the box in ounces by the weight of one thumbtack in ounces (0.25 oz).
Learn more about unit conversion here:
#SPJ11
Answers
Answer:
3x^2 -x-6
Step-by-step explanation:
If f(x) = 3x^2 - 4 and g(x) = x +2
(f-g)(x)
I like to line them up vertically
3x^2 - 4
-( x +2)
----------------------
Distribute the minus sign
3x^2 - 4
- x -2
----------------------
3x^2 -x-6