Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
Answer:
26/9
Step-by-step explanation:
whenever you divide fractions, they turn into a multiplication problem and use the second fraction's reciprocal. so it would look something like this:
13/2 * 4/9
just do straight multiplication
numerators: 13*4 = 52
denominators: 2*9 = 18
52/18 = 26/9
Answer: Choice A
This is a 45-45-90 triangle so the hypotenuse is sqrt(2) times longer than the leg
hypotenuse = leg*sqrt(2)
hypotenuse = 12*sqrt(2)
<h2><u>
Definitions/How to Find It</u></h2>
Mean - The average of all of the numbers. Add up all of the numbers then divide it by the total number of numbers.
Median - The middle number of them all. Put the numbers in order from least to greatest and find the one in the middle.
Mode - The number that appears the most.
Range - The difference between the highest and lowest numbers Subtract the lowest number from the highest number.
<h2><u>
Answers</u></h2>
Mean = 56.6
Median = 53
Mode = 41, 43, 63
Range = 56