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

Question

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] · Answer 1 · 2022-09-07T07:44:25+03:00

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

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] · Answer 2 · 2022-09-07T05:57:02+03:00

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