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Yuliya22 [10]
3 years ago
13

The shadow cast by an object on a sunny day is directly proportional to the height of the object. If a person 82 inches tall cas

ts a shadow 57 inches long, how tall is a tree which casts
shadow 31 feet in length? Round to the nearest hundredth if necessary
A. 150.77 feet
B. 44.6 feet
C. 69.5 feet
D. 21.55 feet
Mathematics
2 answers:
stira [4]3 years ago
8 0

Answer:

<h2><u>Given </u><u>:</u><u>-</u></h2>
  • Height of person = 82 inches
  • Shadow of person = 57 inches
  • Shadow of another person = 31 ft
<h2><u>To </u><u>Find</u><u> </u><u>:</u><u>-</u></h2>

Height of person

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

We may notice that they are in proportion

So,

Let the length be x

82/57 = x/31

57 × x = 82 × 31

57x = 2542

x = 2542/57

x = 44.6 ft

\\

valkas [14]3 years ago
3 0

Answer:

B. 44.6 feet

Step-by-step explanation:

To find the height of the tree, create a proportion where x is its height:

\frac{82}{57} = \frac{x}{31}

Cross multiply and solve for x:

57x = 2542

x = 44.6

So, the tree is B, 44.6 feet

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