The shadow cast by an object on a sunny day is directly proportional to the height of the object. if a person 78 inches tall casts a shadow 56 inches long, how tall is a tree which casts a shadow 34 feet in length? round to the nearest hundredth if necessary.

47.36 feet.

Step-by-step explanation:

When two quantities x and y are directly proportional , then the equation that shows direct variation is given by :-

Given : The shadow cast by an object on a sunny day is directly proportional to the height of the object.

Let x be the height of tree.

According to the the given question , we have

Hence, the height of tree = 47.36 feet.

46

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13             subtract 54.13 from both sides

168 - 54.13   = 2.47f             combine

113.87 = 2.47f                     divide by 2.47

113.87 / 2.47 = f                   combine

46.1 = f  

answer: 46 cm