Mathematics: A telephone pole cast a shadow that is 19 feet long nearby flagpole casts a shadow that is 11 feet long is a telephone pole is 13 feet tall how tall is the flagpole to the nearest 10th of a foot

A telephone pole cast a shadow that is 19 feet long

dekarouh

02.10.2021

The area of the shaded region is 38.50 square units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of the shaded region is equal to the area of triangle ABE plus the area of triangle CDE

Remember that the area of triangle is equal to

$A=\frac{1}{2}bh$

where

b is the base

h is the height

Find the area of triangle ABE

$b=AB=7\ units$

$h=\frac{BC}{2}=\frac{11}{2}=5.5\ units$

substitute the values

$A=\frac{1}{2}(7)(5.5)=19.25\ units^2$

Find the area of triangle CDE

$b=CD=AB=7\ units$

$h=\frac{BC}{2}=\frac{11}{2}=5.5\ units$

substitute the values

$A=\frac{1}{2}(7)(5.5)=19.25\ units^2$

Find the area of the shaded region

$A=19.25\ units^2+19.25\ units^2=38.50\ units^2$

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