Question

A 3.5 ft child casts a 60 inch shadow, the child is next to a telephone pole that casts a 50 ft shadow how tall is the telephone pole

Answer 1

The telephone pole is 35ft tall .

What is height?

The height of any object is define as the distance measurement of that object from the top to its base. In geometry it is also called as altitude.

Height can be measured in various quantities such as feet, inches, centimeters etc.

Some of measurements are as below.

• feet to inches

          1 feet = 12 inches

• feet to centimeters

          1 feet = 30.48 cm

• inches to centimeters

          1 inch = 2.54 cm

• meters to feet

          1 feet = 3.28 feet

In the given question,

Convert 60 inches to feet ,

60 inches = 60/12 feet = 5 feet

Given, pole shadow = 50ft

child height =3.5ft

now, Set up  proportion between the ratios of the child and his shadow and the telephone pole and its shadow.

$\frac{child \ height}{child \ shadow \ length} =\frac{pole \ height}{pole \ shadow \ length}$

Let, x be pole height

=> $\frac{3.5}{5} =\frac{x}{50}$

now solve the equation,

3.5 ×50 = x × 5

x = 35

Thus, the pole is 35 feet tall.

To know more about height and the distances, visit:

brainly.com/question/15939509

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